Pls help me I really need it - brainly.com - Free Printable

Let’s solve each problem one by one using ratios and match the answers to the letters. Then we’ll decode the riddle: “What did zero say to eight?”

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Problem 1:

> At a local preschool, there is a ratio of 3 boys to every 4 girls. If there are 245 total preschoolers enrolled, how many are boys?

- Ratio parts: 3 (boys) + 4 (girls) = 7 parts total
- Each part = 245 ÷ 7 = 35
- Boys = 3 × 35 = 105

✔ Answer: E: 105

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Problem 2:

> Stan’s Steakhouse has a server to cook ratio of 5 to 2. The total number of servers and cooks is 42. How many servers does Stan’s Steakhouse employ?

- Ratio parts: 5 (servers) + 2 (cooks) = 7 parts total
- Each part = 42 ÷ 7 = 6
- Servers = 5 × 6 = 30

✔ Answer: C: 30

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Problem 3:

> An amusement park sells child and adult tickets at a ratio of 8:1. On Saturday, they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday?

- Let adult tickets = x → child tickets = 8x
- Difference: 8x - x = 7x = 147 → x = 21
- Adult tickets = 21, Child tickets = 8×21 = 168
- Total tickets = 21 + 168 = 189

✔ Answer: L: 189

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Problem 4:

> Brock is training for a CrossFit competition. Originally, his training plan had him completing pull-ups and box jumps at a ratio of 5:4. After two months of training, he decided to focus on his leg strength and adjusted his ratio to 2:7. If he completed 63 box jumps at the end of his training, how many pull-ups did he complete in the initial stage of training?

- Final ratio: pull-ups : box jumps = 2:7
- He did 63 box jumps → so 7 parts = 63 → 1 part = 9
- So final pull-ups = 2 × 9 = 18 (but we don’t need this)

We need initial stage pull-ups.

Initial ratio: pull-ups : box jumps = 5:4

But we don’t know how many box jumps he did initially. However, the question implies that the number of box jumps changed, but we can assume that the pull-up count in the initial stage is based on the same total or same box jump count? Wait — no, actually, we need to find pull-ups from the initial ratio, given that later he did 63 box jumps.

Actually — the problem doesn’t say the total number of exercises is the same. But it says “if he completed 63 box jumps at the end” — so we can’t directly link to initial unless we assume something.

Wait — re-read: “how many pull-ups did he complete in the initial stage of training?”

It doesn’t give us total or any direct link. This seems ambiguous — unless we assume that the number of box jumps remained the same? That doesn’t make sense because he adjusted his focus.

Alternative interpretation: Maybe the 63 box jumps is just to establish the new ratio, and we’re to find the initial pull-ups assuming he did the same amount of box jumps initially? That would be inconsistent with changing ratios.

Wait — perhaps the problem is saying: In the initial stage, ratio was 5:4. In the final stage, ratio was 2:7, and he did 63 box jumps then. We are to find how many pull-ups he did in the initial stage — but without knowing if the total volume changed, we can't link them.

This seems like a trick. Let’s look at the answer choices — maybe we can reverse-engineer.

If in final stage, box jumps = 63, ratio 2:7 → pull-ups = (2/7)*63 = 18 → so final pull-ups = 18.

But initial ratio was 5:4. If we assume he did the same number of box jumps initially, then:

Initial box jumps = 63 → then pull-ups = (5/4)*63 = 78.75 → not whole number → invalid.

Alternatively, maybe the total number of exercises stayed the same? Not stated.

Wait — perhaps the problem is miswritten? Or maybe we’re supposed to realize that the box jumps increased?

Another thought: Perhaps the 63 box jumps is the amount he did in the final stage, and we are to find the initial pull-ups based on the initial ratio alone — but that’s impossible without more info.

Let me check online or think differently.

Wait — perhaps the problem is implying that he did 63 box jumps in the final stage, and we are to find the initial pull-ups assuming the same number of total exercises? Still not enough.

Hold on — let’s look at the answer choices. The options are: A:168, E:45, L:189, G:98, B:8, T:250, I:60, E:105, J:18, M:21, H:50, N:300, P:25, C:30, S:12

From problem 4, if final box jumps = 63, ratio 2:7 → pull-ups = 18 → which is option J.

But the question asks for initial stage pull-ups.

Perhaps the key is: The number of box jumps in the initial stage is the same as in the final stage? But that contradicts “adjusted his ratio”.

Wait — maybe the problem means: He changed his ratio, and now does 63 box jumps, but we need to find how many pull-ups he did when he was doing the 5:4 ratio, assuming he did the same total number of exercises? Still not specified.

This is confusing. Let’s try a different approach.

Suppose in the initial stage, he did 5x pull-ups and 4x box jumps.

In the final stage, he did 2y pull-ups and 7y box jumps.

Given: 7y = 63 → y = 9 → final pull-ups = 18.

But we have no relation between x and y.

Unless the problem implies that the number of box jumps doubled or something — not stated.

Perhaps it's a trick, and we're supposed to realize that the initial pull-ups are 5/4 times the initial box jumps, but we don't know initial box jumps.

I think there might be a mistake in my reading.

Let me read again: “If he completed 63 box jumps at the end of his training, how many pull-ups did he complete in the initial stage of training?”

This suggests that the 63 box jumps is the final amount, and we need to find initial pull-ups — but without a link, it's impossible.

Unless — perhaps the total number of exercises is the same? Let’s assume that.

Let total exercises = T.

Initial: pull-ups = (5/9)T, box jumps = (4/9)T

Final: pull-ups = (2/9)T, box jumps = (7/9)T

Given: (7/9)T = 63 → T = 63 * 9 / 7 = 81

Then initial pull-ups = (5/9)*81 = 45

✔ Answer: E: 45

That makes sense! And 45 is an option.

So we assume the total number of exercises remained the same during training, only the ratio changed.

Perfect.

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Problem 5:

> A paper store sells wrapping paper rolls and bags. In the spring, they order a ratio of 3:7 in wrapping paper and bags. However, to prepare for the holiday season, they adjust the order and use a ratio of 5:5. If 150 rolls of wrapping paper were a part of their spring order, how many bags were ordered for the holiday season?

- Spring ratio: wrapping paper : bags = 3:7
- Spring wrapping paper = 150 → so 3 parts = 150 → 1 part = 50
- Spring bags = 7 × 50 = 350

But the question asks for holiday season bags.

Holiday ratio: 5:5 → which is 1:1 → equal number of wrapping paper and bags.

But how much do they order for holiday season? The problem doesn’t say they order the same total or same wrapping paper.

It says: “if 150 rolls of wrapping paper were a part of their spring order” — so we know spring order.

But for holiday, we don’t know how much they order.

Unless — perhaps they order the same number of wrapping paper rolls? That would be reasonable.

Assume for holiday season, they still order 150 rolls of wrapping paper.

Holiday ratio: 5:5 → so wrapping paper : bags = 1:1 → so bags = 150

But 150 is not in the answer choices.

Options: A:168, E:45, L:189, G:98, B:8, T:250, I:60, E:105, J:18, M:21, H:50, N:300, P:25, C:30, S:12

150 not there.

Perhaps they order the same total number of items?

Spring: ratio 3:7 → total parts = 10 → 3 parts = 150 → total items = 150 * 10 / 3 = 500

Holiday: ratio 5:5 → so 5 parts wrapping paper, 5 parts bags → total 10 parts → each part = 500 / 10 = 50

Bags = 5 × 50 = 250

✔ Answer: T: 250

That works.

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Problem 6:

> A new clothing company prints the same t-shirt in different colors. The ratio of the number of red t-shirts to the number of blue t-shirts was 8:5. After reviewing their sales for the first three months, the company determined that blue t-shirts were more popular and changed the printing ratio to 4:9. If they initially printed 75 blue t-shirts, how many red t-shirts are now being printed?

- Initial ratio: red : blue = 8:5
- Initially, blue = 75 → so 5 parts = 75 → 1 part = 15
- Initial red = 8 × 15 = 120

But the question is: how many red t-shirts are now being printed?

New ratio: red : blue = 4:9

We need to know how many blue t-shirts they are printing now. The problem doesn’t say.

Unless — perhaps they are printing the same number of blue t-shirts? That would be 75.

Then new ratio 4:9 → blue = 9 parts = 75 → 1 part = 75/9 = 25/3 ≈ 8.333 → red = 4 × 25/3 = 100/3 ≈ 33.33 — not whole number.

Not likely.

Perhaps they are printing the same total number of t-shirts?

Initial: red:blue = 8:5 → total parts = 13 → blue = 5 parts = 75 → 1 part = 15 → total = 13 × 15 = 195

New ratio: red:blue = 4:9 → total parts = 13 → same total!

So red = 4 parts = 4 × 15 = 60

✔ Answer: I: 60

Perfect.

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Problem 7:

> The local library has a children’s section with picture books and chapter books. The ratio is 2:3. If there is a total of 500 books in the children’s section, how many chapter books are in the section?

- Ratio: picture : chapter = 2:3 → total parts = 5
- Chapter books = 3/5 × 500 = 300

✔ Answer: N: 300

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Problem 8:

> A movie theater has 24 screens. The ratio of action films to other films is 1:2 in the summer. How many action films are shown?

- Ratio: action : other = 1:2 → total parts = 3
- Action films = 1/3 × 24 = 8

✔ Answer: B: 8

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## Now, let’s list the answers with their problem numbers:

1. E: 105
2. C: 30
3. L: 189
4. E: 45
5. T: 250
6. I: 60
7. N: 300
8. B: 8

Now, the riddle: WHAT DID ZERO SAY TO EIGHT?

And we have a sequence: 7 6 2 4 8 1 3 5

So we need to find the letter corresponding to each problem number in that order.

- Problem 7 → N
- Problem 6 → I
- Problem 2 → C
- Problem 4 → E
- Problem 8 → B
- Problem 1 → E
- Problem 3 → L
- Problem 5 → T

So the letters are: N I C E B E L T

That spells: "Nice Belt"

And since 8 looks like a belt with a buckle, and zero is round, it’s a pun!

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## ✔ Final Answer: NICE BELT

Zero said to eight: “Nice belt!” (because 8 has a “belt” around its middle)