Respuesta :
Answer:
the tank can hold 12.5 gallons when it is full
Step-by-step explanation:
Let's assume
tank can hold 'x' gallons when it is full
we are given
The gas gauge in a car shows it has 40% of a tank of gas
So, gas in car is
[tex]=\frac{40}{100}\times x[/tex]
and we have
the car has about 5 gallons
so, we can set it equal
and then we can solve for x
[tex]5=\frac{40}{100}\times x[/tex]
[tex]5=\frac{4}{10}\times x[/tex]
[tex]5=\frac{2}{5}\times x[/tex]
Multiply both sides 5
[tex]5\times 5=5\times \frac{2}{5}\times x[/tex]
[tex]5\times 5=2x[/tex]
[tex]25=2x[/tex]
we get
[tex]x=12.5[/tex]
So, the tank can hold 12.5 gallons when it is full