Question

4 1/8 tons of gravel is spread evenly across 2 1/6 acres. How many tons of gravel are on each acre?

Answer 1

$1\frac{47}{52}$ tons of gravel are on each acre.

Explanation

Suppose, the amount of gravel on each acre is $x$ tons.

So, the total amount of gravel on $2\frac{1}{6} or \frac{13}{6}$ acres will be: $\frac{13}{6}x$ tons.

Given that, the total amount of gravel is $4\frac{1}{8}$ tons or $\frac{33}{8}$ tons.

So, the equation will be......

$\frac{13}{6}x= \frac{33}{8} \\ \\ 24*\frac{13}{6}x= 24*\frac{33}{8}\\ \\ 52x=99\\ \\ x= \frac{99}{52}=1\frac{47}{52}$

Thus, $1\frac{47}{52}$ tons of gravel are on each acre.