Problem 7 · 2021 Math Kangaroo
Easy
Arithmetic & Operations
work-backwardfair-share
Denise fired a silver and a gold rocket at the same time. The rockets exploded into 20 stars in total. The gold rocket exploded into 6 more stars than the silver one. How many stars did the gold rocket explode into?
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Answer: D — 13
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Hint 1 of 2
The two rockets together make 20 stars, and the gold makes 6 more than the silver.
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Hint 2 of 2
Take the 6 extra off the 20 first, split what is left evenly, then give the gold its extra back.
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Approach: split the total after removing the difference
- Remove the 6 extra gold stars: 20 - 6 = 14 shared equally.
- Each rocket's base share is 14 / 2 = 7, so the silver has 7.
- The gold has 7 + 6 = 13.
- So the gold rocket made 13 stars (D).
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