Question

Melvise spent 40% of her clothing budget on a new dress that cost $112. How much did she have in her clothing budget to begin with?

Answer 1

Her clothing budget was $280.

Explanation:

Let Melvise has a budget of $x for her clothing.

She spent 40% of her clothing budget on a new dress.

Therefore, amount of total clothing budget spent = 40% of x

= $0.40x

This amount spent on new dress is = $112

So the expression that represents the total amount spent on new dress will be

0.40x = 112

x =
`(112)/(0.40)`

x = $280

Her clothing budget was $280.

Answer 2

The initial clothing budget was $280

Explanation:

Let

x ----> initial clothing budget

we know that

$112 ----> represent the 40% of the initial clothing budget

so

using proportion

Find out the amount that represent the 100% of the initial clothing budget

`(\$112)/(40\%)=(x)/(100\%) \\\\x=112(100)/40\\\\x=\$280`