Question

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

Answer 1

Answer:

The money left after gasoline expenses was $622.50.

Step-by-step 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:

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

$\frac{63}{100} \times g=261.45\\\\0.63\times g=261.45$

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:

$40\%\ of\ x=\ 415\\\\\frac{40}{100}\times x=415\\\\0.40\times x=415$

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.