Middle School

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Adrian earns $3600 per month. He spends \(\frac{1}{4}\) of his income on rent, \(\frac{2}{5}\) on food, \(\frac{1}{9}\) on activities, and he saves the rest. How much does he save each month?

Answer :

he saves $860 per month

calculate each of his outgoings

rent = [tex]\frac{1}{4}[/tex] × $3600 = [tex]\frac{3600}{4}[/tex] = $900

food = [tex]\frac{2}{5}[/tex] × $3600 = [tex]\frac{2(3600)}{5}[/tex] = $1440

activities = [tex]\frac{1}{9}[/tex] × $3600 = [tex]\frac{3600}{9}[/tex] = $400

savings = $3600 - ( 900 + 1440 + 400 ) = $860


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Rewritten by : Barada

To add the fractions we must make the denominators = 180.

45/180 + 72/180 + 20/180 = 137/180

Expense Total = (137/180) * 3,600 = $2,740

Savings Total = (180 - 137) / 180

Savings = (43/180) * 3,600

Savings = $860

***********DOUBLE CHECK**********************

1/4=.25 2/5 = .40 1/9 = .111111

.25 + .40 + .111111 = .761111

Expenses = .761111 * 3,600 = 2,740.00

Savings = 3,600 - 2,740.00 = 860.00