Question

boriss gas tank is \\(\frac{1}{4}\\) full. after he buys 6 gallons of gas, it is \\(\frac{5}{8}\\) full. how many gallons can boriss tank hold? \\(\square\\) gallons

Explanation:

Step1: Find fraction of tank filled

$\frac{5}{8} - \frac{1}{4} = \frac{5}{8} - \frac{2}{8} = \frac{3}{8}$

Step2: Relate fraction to gallons

Let $x$ = total tank capacity. $\frac{3}{8}x = 6$

Step3: Solve for total capacity

$x = 6 \div \frac{3}{8} = 6 \times \frac{8}{3} = 16$

Answer:

16 gallons