Question

Adrian earns $3600 per month. he spends 1/4 of his income on rent, 2/5 on food, 1/9 on activities, and he saves the rest. how much does he save each month?

Answer 1

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

Answer 2

he saves $860 per month

calculate each of his outgoings

rent =
`(1)/(4)` × $3600 =
`(3600)/(4)` = $900

food =
`(2)/(5)` × $3600 =
`(2(3600))/(5)` = $1440

activities =
`(1)/(9)` × $3600 =
`(3600)/(9)` = $400

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