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?
(3/4) / (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 \(\frac{15}{16}\).