Question

Aiden's mom calculated that in the previous month, their family had used 40% of the monthly income for

gasoline, and 63% of that gasoline was consumed by the family's SUV. If the family's SUV used $261.45 worth of

gasoline last month, how much money was left after gasoline expenses?

Answer 1

The money left after gasoline expenses was $622.50.

Explanation:

Given:

Last month, family had used 40% of the monthly income for gasoline, and 63% of that gasoline was consumed by the family's SUV.

The family's SUV used $261.45 worth of gasoline previous month.

Now, to find the money left of the family monthly income after gasoline expenses.

Let the total money spend on gasoline be
`g.`

As, given:

The family's SUV used $261.45 worth of gasoline, which was 63% of the gasoline that was consumed.

According to question:

`63\%\ of\ g=$261.45.\\\\`

`(63)/(100) * g=261.45\\\\0.63* g=261.45`

Dividing both sides 0.63 we get:

`g=\$415.`

The total money spend on gasoline = $415.

Now, 40% of the monthly income is used for gasoline.

Let the total monthly income be
`x.`

So, to get the monthly income we put an equation:

`40\%\ of\ x=\$415\\\\(40)/(100)* x=415\\\\0.40* x=415`

Dividing both sides by 0.40 we get:

`x=\$1037.50.`

The total monthly income = $1037.50.

Now, to get the money left after gasoline expenses we subtract the total money spend on gasoline from the total monthly income:

`\$1037.50-\$415\\\\=\$622.50.`

Therefore, the money left after gasoline expenses was $622.50.