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Printable math worksheet for comparing unit rates with real-world word problems.

A worksheet titled "Comparing Unit Rates" with five word problems involving unit rate calculations, including harvest yields, pricing, flower arrangements, cycling distances, and store discounts. The worksheet is labeled "Sheet 1" and includes spaces for name and score.

A worksheet titled "Comparing Unit Rates" with five word problems involving unit rate calculations, including harvest yields, pricing, flower arrangements, cycling distances, and store discounts. The worksheet is labeled "Sheet 1" and includes spaces for name and score.

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Show Answer Key & Explanations Step-by-step solution for: Unit rate word problems: Comparing unit rates | Unit rate ...
Explanation:
Let’s solve each problem one by one, carefully.

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Problem 1:
Jack’s orchard: 450 lb from 6 trees → yield per tree = 450 ÷ 6 = 75 lb/tree
Mo’s orchard: 1,215 lb from 15 trees → yield per tree = 1,215 ÷ 15
Let’s compute that:
15 × 80 = 1,200
1,215 − 1,200 = 15 → so 15 × 81 = 1,215
So Mo’s yield = 81 lb/tree
Compare: 75 vs. 81 → Mo’s orchard has higher yield per tree.

Answer for #1: Mo’s orchard

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Problem 2:
We need to compare unit prices (price per ounce) to find the better deal.

- 15.25 oz can costs $7.93
Unit price = 7.93 ÷ 15.25
Let’s calculate:
15.25 × 0.5 = 7.625
7.93 − 7.625 = 0.305
So 0.5 + (0.305 ÷ 15.25) ≈ 0.5 + 0.02 = $0.52 per oz (approx)
Better to do exact division:
7.93 ÷ 15.25 = ?
Multiply numerator and denominator by 100: 793 ÷ 1525
Use calculator-style mental math:
1525 × 0.52 = 1525 × 52/100 = (1525 × 52)/100
1525 × 50 = 76,250
1525 × 2 = 3,050
Total = 79,300 → ÷100 = 793 → exactly!
So 7.93 ÷ 15.25 = $0.52/oz

- 25 oz can costs $11.75
Unit price = 11.75 ÷ 25 =
25 × 0.47 = 11.75 → exactly!
So = $0.47/oz

Compare: $0.52 vs $0.47 → the 25 oz can is cheaper per ounce.

Answer for #2: The 25 oz can is the better deal

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Problem 3:
Kathleen makes:
- Bridesmaid bouquets: 5 bouquets with 95 roses → roses per bouquet = 95 ÷ 5 = 19 roses
- Flowergirl bouquets: 3 bouquets with 63 tulips → tulips per bouquet = 63 ÷ 3 = 21 tulips

Question: Which type of bouquet was designed with *lesser number of flowers*?
→ Bridesmaid: 19 flowers
→ Flowergirl: 21 flowers
So bridesmaid bouquets have fewer.

Answer for #3: Bridesmaid bouquets

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Problem 4:
Find distance per minute (speed) for each person:

- Andre: 750 m in 3 minutes → 750 ÷ 3 = 250 m/min
- Rick: 800 m in 4 minutes → 800 ÷ 4 = 200 m/min
- Ty: 950 m in 5 minutes → 950 ÷ 5 = 190 m/min

Least distance per minute = smallest speed = 190 m/min → Ty

Answer for #4: Ty

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Problem 5:
Compare cost per pair of jeans at each store.

- Store A: $120 for 4 pairs → 120 ÷ 4 = $30 per pair
- Store B: $100 for 2 pairs → 100 ÷ 2 = $50 per pair
- Store C: $99 for 3 pairs → 99 ÷ 3 = $33 per pair

Cheapest per pair = $30 → Store A

Answer for #5: Store A

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Now collect all final answers in order:

1. Mo’s orchard
2. The 25 oz can
3. Bridesmaid bouquets
4. Ty
5. Store A

But since the question asks to solve the problems (and likely expects just the answers), and the format says “Final Answer” should contain only the correct answer — but there are 5 separate questions.

Given the instruction:
> Final Answer: [Provide only the final correct answer]

However, there are 5 distinct answers. In such worksheets, usually each numbered item expects its own answer. Since the user didn’t specify a single answer, and the task is “Solve the problem accurately”, we list all 5 answers clearly.

But per strict instruction: “ONLY THEN provide the final answer” — and it says “the final correct answer”, singular. Yet there are 5 problems.

Looking at standard practice for such worksheets: the expected output is the answers to each question, often as a list.

Since the instructions emphasize *only* the final answer after reasoning, and no section is omitted (ExplainAnswer is false, etc.), I will give the 5 answers in order, separated clearly.

Final Answer:
1) Mo
2) 25 oz can
3) bridesmaid bouquets
4) Ty
5) Store A
Parent Tip: Review the logic above to help your child master the concept of unit rate word problems worksheet.
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