Question

A gasoline gauge initially read 1/3 full. when 10 gallons were added it read 3/4 full. How many more gallons are needed to fill the tank?

Answer 1

by addding 10 gallons, you add 5/12 of a tank. 5/12= .42. you need to gain 1/4 of a tank in order to be full.

Answer 2

Please show some of your own work. You MUST have something to show us so we can help you more specifically.

Answer 3

so for every 10 gallons, you gain .42 of a tank

Answer 4

1/3 (4/12) full takes x gallons
3/4 (9/12) full takes x+10 gallons
1/1 (12/12) full takes x + 10 + y gallons

Has to be some sense in there, somewhere.

Answer 5

and i agree with @tkhunny its hard to help with this problem without seeing some of your work

Answer 6

\(\large \color{black}{
\dfrac{t}{3}+10=\dfrac{3t}{4}\hspace{.33em}\\~\\
}\)

Answer 7

where t is the total capacity

Answer 8

\(\large \color{black}{
t=24\hspace{.33em}\\~\\
\dfrac{3t}{4}=18\hspace{.33em}\\~\\

}\)
gallons more needed =\(\large \color{black}{
24-18=6\quad \text{gallons}\hspace{.33em}\\~\\

}\)