Torrance is buying presents for members of his family. he wants to spend $10 less on his brother than he spends on husband sister, and six dollars more than twice the amounts he spends on his sister on his mother. if torrance has $100 to spend, how much does he intend to spend on his brother?

Ok, so let 
x = the money that Torrance intends to spend on his brother.
x + 10 = the money Torrance intends to spend on his sister
6 + 2(x + 10) = the money Torrance intends to spend on his mother
So Torrance has $100 to spend.

Let's use all of this information and set up an equation.
x + x + 10 + (6 + 2(x + 10)) = 100
2x + 10 + 6 + 2x + 20 = 100
4x + 36 = 100
       -36     -36

      4x = 64
Divide 4 on both sides.
You get $16.
He intends to spend $16 on his brother.

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