Respuesta :
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 [tex]g.[/tex]
As, given:
The family's SUV used $261.45 worth of gasoline, which was 63% of the gasoline that was consumed.
According to question:
[tex]63\%\ of\ g=$261.45.\\\\[/tex]
[tex]\frac{63}{100} \times g=261.45\\\\0.63\times g=261.45[/tex]
Dividing both sides 0.63 we get:
[tex]g=\$415.[/tex]
The total money spend on gasoline = $415.
Now, 40% of the monthly income is used for gasoline.
Let the total monthly income be [tex]x.[/tex]
So, to get the monthly income we put an equation:
[tex]40\%\ of\ x=\$415\\\\\frac{40}{100}\times x=415\\\\0.40\times x=415[/tex]
Dividing both sides by 0.40 we get:
[tex]x=\$1037.50.[/tex]
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:
[tex]\$1037.50-\$415\\\\=\$622.50.[/tex]
Therefore, the money left after gasoline expenses was $622.50.
