Maggie has a box of 200 colored blocks. The box has an equal number of green and blue blocks and an equal number of red and yellow blocks. If Maggie arranged all of the green blocks in stacks of 10 and all of the blue blocks in stacks of 7, how many yellow blocks are in the box?

A) 15
B) 20
C) 25
D) 30

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asked 02/28/2017

Maggie has a box of 200 colored blocks. The box has an equal number of green and blue blocks and an equal number of red and yellow blocks. If Maggie arranged all of the green blocks in stacks of 10 and all of the blue blocks in stacks of 7, how many yellow blocks are in the box? A) 15 B) 20 C) 25 D) 30
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4.4/5

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Ksimmons35 avatar
Ksimmons35
asked 03/22/2019

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asked 05/01/2016

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Since there are an equal number of green and blue blocks, we know that there are 100 green and 100 blue blocks.

Maggie arranges all the green blocks in stacks of 10, so there are 10 stacks of green blocks, each with 10 blocks, which means she used a total of 100/10 = 10 stacks.

Maggie arranges all the blue blocks in stacks of 7, so there are 100/7 ≈ 14.28 stacks of blue blocks. She can only use an integer number of stacks, so she uses 14 stacks, which means she used a total of 14 x 7 = 98 blue blocks.

Since there are an equal number of red and yellow blocks, and we know she used 100 green blocks and 98 blue blocks, the total number of yellow and red blocks must be 200 - 100 - 98 = 2.

Therefore, there is only 1 yellow block in the box, so the answer is (A) 15.