Question

Question #d27c7

Answer 1

OK, we can work this out.

Explanation:

If `y = 20 and x = 8` then as `20 = 2.5xx8` so `y = 2.5xx x`

Let’s use that to find y if x = 76, knowing that y is always two and a half times bigger than x.

`y = 2.5xx76 = 190`

Answer 2

`y=190`

Explanation:

Set up a proportion.

`8/20=76/y`

Cross multiply.
Multiply each numerator by the opposite denominator.

`(8xxy)=(76xx20)`

Simplify.

`8y=1520`

Divide both sides by `8`.

`(8y)/8=1520/8`

Cancel `8` on the left-hand side.

`(color(red)cancel(color(black)(8))^1y)/color(red)cancel(color(black)(8))^1=1520/8`

Simplify.

`y=190`