Question

Aryiah spent 4 dollars more than Mike. Together they spent 38 dollars. How much did Aryiah spend. Need the equation please

Answer 1

Aryiah spends 21 dollars

Explanation:

Aryiah and Mike spend some money. Aryiah spends 4 dollars more than what Mike spends. Both together spend 38 dollars.

Let us denote the amount spent by Aryiah with
`x` and the amount spent by Mike with
`y`. Here
`x` and
`y` are in dollars.

Aryiah spent 4 more dollars than Mike ⇒
`x=y+4`

Both together spend 38 dollars ⇒
`x+y=38`

Substituting first equation in the second,

`y+4+y=38\\2y=38-4=34\\y=17\\x=21`

∴ Aryiah spends 21 dollars and Mike spends 17 dollars.