Question

Gwen saves 15% of her income. This month her income is $500 more than last month. The expression 0.15(x + 500) represents the amount of money she saves this month, where x is last month’s income. Gwen saves $210 this month. What was Gwen’s income in dollars last month?

Answer 1

$900

Explanation:

Savings = 15% of her income

This month income = $500

Given expression:

0.15(x + 500)

where,

x = last month’s income.

What was Gwen’s income in dollars last month?

Gwen saves $210 this month.

210 = 0.15(x + 500)

Open the parenthesis

210 = 0.15x + 75

Collect like terms

210 - 75 = 0.15x

135 = 0.15x

Divide both sides by 0.15

x = 135 / 0.15

= 900

x = $900

Gwen’s income in dollars last month is $900