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?

Answer 1

(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 2

The pebbles are required to cover the entire garden is
`(15)/(16)`.

Explanation:

Consider the provided information.

Convert the provided information into mathematical expression.

3 over 4 ton can be written as
`(3)/(4)` and 4 over 5 can be written as
`(4)/(5)`.

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

Therefore

`(3)/(4)=(4)/(5)*{x}`

`x=(3)/(4)*{(5)/(4)}`

`x=(15)/(16)`

Hence, the pebbles are required to cover the entire garden is
`(15)/(16)`.