Question

While shopping for clothes, Tracy spent $38 less than 3 times what Daniel spent. How much did Daniel spend ?

Answer 1

Equation:
`y= 3x-38`

Daniel spent:
`x= (1)/(3) y+12.6`

Explanation:

Here is the complete question: While shopping for clothes, Tracy spent $38 less than 3 times what Daniel spent. Write and solve an equation to find How much did Daniel spend ?

Lets assume amount spent by Daniel is "x".

and assume amount spent by Tracy is "y".

As given, Tracy spent $38 less than 3 times what Daniel spent.

∴
`y= 3* x-\$ 38`

`y= 3x-38`

Hence,
`y= 3x-38` is the equation to show amount that Tracy spent.

To find the amount that Daniel spent, we need to solve the equation.

`y= 3x-38`

Adding both side by 38.

⇒
`y+38= 3x`

Cross multiplying both side.

⇒
`x= (1)/(3) y+(38)/(3)`

∴
`x= (1)/(3) y+12.6`