Let’s go through each problem one by one, step by step.
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Problem 1:
Benny has $75 to spend. He purchased a gift for $93. If he borrows the extra money that he needs, how much does he need to borrow?
- Benny has: $75
- Cost of gift: $93
- Money needed = Cost - What he has = 93 - 75 =
$18
✔ So, he needs to borrow $18.
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Problem 2:
The top of a mountain is 1270 feet above sea level. The bottom of a valley is 650 feet below sea level. How high is the mountain top from the bottom of the valley?
- Mountain top: +1270 ft (above sea level)
- Valley bottom: -650 ft (below sea level)
- Total height difference = 1270 - (-650) = 1270 + 650 =
1920 feet
✔ So, the mountain top is 1920 feet above the valley bottom.
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Problem 3:
A football team scores 3 goals in the first half and 2 in the second half. However, the opponent team scored 3 goals in the whole game. Which team has won, and by how many goals?
- Our team total: 3 + 2 =
5 goals
- Opponent team:
3 goals
- Difference: 5 - 3 =
2 goals
✔ Our team won by 2 goals.
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Problem 4:
Twice a number added to half of itself equals 24. Find the number.
Let the number be
x.
- Twice the number: 2x
- Half of the number: x/2
- Equation: 2x + x/2 = 24
To solve:
Multiply everything by 2 to eliminate fraction:
→ 4x + x = 48
→ 5x = 48
→ x = 48 ÷ 5 =
9.6
Wait — let’s double-check:
If x = 9.6:
- Twice: 19.2
- Half: 4.8
- Sum: 19.2 + 4.8 = 24
✔
But maybe we should check if it’s supposed to be an integer? The worksheet says “Integer Word Problems Practice”, but this problem doesn’t specify the answer must be an integer — just that it’s about integers as concepts. Since 9.6 works mathematically, and no constraint says otherwise, we’ll go with it.
Actually — wait! Let me re-read: “Twice a number added to half of itself” — yes, that’s 2x + 0.5x = 2.5x = 24 → x = 24 / 2.5 = 9.6
Alternatively, using fractions: 2x + x/2 = (4x + x)/2 = 5x/2 = 24 → 5x = 48 → x = 48/5 = 9.6
✔ So the number is 9.6
BUT — since this is labeled “Integer Word Problems Practice”, perhaps they expect an integer? Let me see if I misread.
No — the problem doesn’t say “find an integer”, it just says “find the number”. And 9.6 is correct.
However, sometimes in school worksheets, they might have intended whole numbers. But based on strict math, 9.6 is right.
Wait — let me try another way: Maybe “half of itself” means something else? No, standard interpretation.
Perhaps typo? Or maybe I should leave it as fraction: 48/5? But decimal is fine.
I think we’re good.
✔ Final answer: 9.6
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Problem 5:
The temperature recorded in New York City on Monday is 20°C. If the temperature increases by 10°C on Tuesday and falls by 15°C on Wednesday, find the temperature recorded on Wednesday.
- Monday: 20°C
- Tuesday: 20 + 10 = 30°C
- Wednesday: 30 - 15 =
15°C
✔ Temperature on Wednesday: 15°C
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Final Answers:
1. $18
2. 1920 feet
3. Our team won by 2 goals
4. 9.6
5. 15°C
Parent Tip: Review the logic above to help your child master the concept of rational numbers word problems worksheet.
