Problem 22 · 2025 Math Kangaroo
Stretch
Fractions, Decimals & Percents
percent-multipliercasework
Manuela takes a total of 17 shots at goal over two soccer training sessions. In the first session she scores with 60% of her shots, and in the second she scores with 75% of her shots. How many goals does she score in the second session?
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Answer: D — 9
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Hint 1 of 2
Both hit-counts must be whole numbers: 60% of the first session and 75% of the second.
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Hint 2 of 2
Split 17 shots so that 60% of the first part and 75% of the second part are both integers.
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Approach: force whole-number hits to fix the split
- 60% needs the first count to be a multiple of 5; 75% needs the second to be a multiple of 4.
- With shots adding to 17, the split is 5 and 12 (5 is a multiple of 5, 12 of 4).
- Second-session hits = 75% of 12 = 9, which is (D).
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