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

`(15)/(16)` ton of pebbles will cover the whole garden.

Explanation:

So
`(3)/(4)` ton covers
`(4)/(5)` of the garden.

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

`((3)/(4) )/((4)/(5) ) =(x)/(1)`

`(3)/(4)` /
`(4)/(5)` = x

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

`(15)/(16)` = x

`(15)/(16)` ton of pebbles will cover the whole garden.