Question

Misty and Yesenia have a group of Base Ten Blocks. Misty has six more blocks than Yesenia. Yesenia's blocks represent 17. Together they have 22 blocks, and the total numbers of blocks represent 85. What blocks could each girl have? What is the value?

Answer 1

Yesenia has qty 1 of 10s and qty 7 of 1s

Misty has qty 6 of 10s and qty 8 of 1s

Explanation:

Note that there are two different types of blocks: 1s and 10s. Let x represent the number of 10s and y represent the number of 1s.

Value of the blocks Number of blocks

Yesenia: 1x + 7y 8

Misty:

Total: 8x + 5y 22

Start with the number of blocks that Misty has: 22 - 8 = 14

Next, how many 1s can be added to Yesenia's to make 5? 15 - 7 = 8

How many blocks are left over from Misty's 14? 14 - 8 = 6

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Fill in the information:

Value of the blocks Number of blocks

Yesenia: 1x + 7y 8

Misty: 6x + 8y 14

Total: 8x + 5y 22