Q 84 - Intermediate Algebra

Question

Two containers of gasoline

hold a total of fifty gallons. The big

container can hold ten gallons less

than twice the small container.

How many gallons does each

container hold?

Step-by-Step Solution

Answer

The bigger container contains $30$ gallons and smaller container $20$ gallons

Step 1. Given

Two containers are given bigger container is ten gallons less twice the smaller container

Step 2. Calculation

Let the bigger container contains $x$ gallons

and the smaller container contains $y$ gallons

according to the question,

$x+y=50$ and $x=2y-10$

Put the value of $x$ in the first equation,

$$\begin{gathered} x+y=50 \\ 2y-10+y=50 \\ 3y=50+10 \\ 3y=60 \\ y=20 \end{gathered}$$

Put the value of $y$ in any equation,

$$\begin{gathered} x+y=50 \\ x+20=50 \\ x=50-20 \\ x=30 \end{gathered}$$