Question

Kendra spent 1/3 of her allowance on a book and 2/5 on a snack if she had four dollars remaining after purchasing a book and snack what was the total amount of her allowance

Answer 1

Consider that it is necessary to subtract the money Kendra spent on the book and the snack from the total. If x is the total money, and after she bought the book and the snack, she has 4 dollars, then, you have:

`x-(1)/(3)x-(2)/(5)x=4`

To determine the value of x, it is necessary to solve the previous equation. Multiply by the least common multiple to cancel out the denominators of the fractions. The least common multiple is 15:

`\begin{gathered} 15x-5x-6x=60 \\ 4x=60 \\ x=(60)/(4)=15 \end{gathered}`

Hence, the total amount of allowance Kendra had was 15 dollars