Question

Misty and Yesenia have a group of base ten blocks. Misty has six more blocks than yesenia. usinas blocks represent 17. together they have 22 blocks and the total number of blocks represent 85 .what blocks could each girl have .what is the value .

Answer 1

Answer :  Misty has 14 blocks and Yesenia has 8 blocks.

Value of each block will be 68 and 25 respectively.

Explanation :

Since we have given that

Let Number of blocks Yesenia has be x

Let Number of blocks Misty has be x+6

According to question,

$x+x+6=22\\\\2x+6=22\\\\2x=22-6\\\\2x=16\\\\x=\frac{16}{2}\\\\x=8$

So, Number of blocks Misty has =x+6=8+6=14

and

Number of blocks Yesenia has =x=8

Now, Yesenia blocks represent 17 ie.e

8 blocks represent 17

Similarly,

22 blocks represent 85

So, According to question,

Remaining blocks = 22-8=14 which represent remaining value i.e. 85-17=68

So, 14 blocks represents 68, which is the value of it.