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?

Verified Answer :

(3/4) / (4/5) = x/1
cross multiply
4/5x = 3/4
x = 3/4 * 5/4
x = 15/16 tons to cover entire garden

Answer:

The pebbles are required to cover the entire garden is \(\frac{15}{16}\).

Step-by-step explanation:

Consider the provided information.

Convert the provided information into mathematical expression.

3 over 4 ton can be written as \(\frac{3}{4}\) and 4 over 5 can be written as \(\frac{4}{5}\).

Now, consider the pebbles are required to cover the entire garden is x.

Therefore

\(\frac{3}{4}=\frac{4}{5}\times{x}\)

\(x=\frac{3}{4}\times{\frac{5}{4}}\)

\(x=\frac{15}{16}\)

Hence, the pebbles are required to cover the entire garden is \(\frac{15}{16}\).