Question

If 3 over 4 ton of pebbles covers 4 over 5 of a garden, how many tons of pebbles are required to cover the entire garden?

3 over 5 ton

15 over 16 ton

1 and 1 over 3 tons

1 and 11 over 20 tons

I am in middle school, I just clicked the wrong button.

Answer 1

Answer:

$\frac{15}{16}$ ton of pebbles will cover the whole garden.

Step-by-step explanation:

So $\frac{3}{4}$ ton covers $\frac{4}{5}$ of the garden.

Let x be pebbles required to cover the entire garden, we can set up a proportion:

$\frac{\frac{3}{4} }{\frac{4}{5} } =\frac{x}{1}$

$\frac{3}{4}$ / $\frac{4}{5}$  = x

$\frac{3}{4}$ * $\frac{5}{4}$ = x

$\frac{15}{16}$ = x

$\frac{15}{16}$ ton of pebbles will cover the whole garden.