Question

Andy and dale solved 35 puzzles together. 1/3 of the puzzles that Andy solved are twice the number of puzzles Dave solved. How many puzzles did each boy solve?

Answer 1

• Andy: 30
• Dale: 5

Explanation:

You want to find the number of puzzles solved by each boy if they solved 35 puzzles together, and 1/3 of the number Andy solved is twice the number Dale solved.

Equations

Let 'a' and 'd' represent the numbers of puzzles solved by Andy and Dale, respectively. Then ...

a + d = 35

1/3a = 2d

Solution

Multiplying the second equation by 3, we get an expression for 'a' that can be used in the first equation:

a = 6d

6d +d = 35

d = 35/7 = 5

a = 6(5) = 30

Andy solved 30 puzzles; Dale solved 5.

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