Question

The ratio of cans to bottles Jamal

recycled last year is 5:8. This year,
he has recycled 200 cans and 320
bottles. Are Jamal's recycling ratios
equivalent?
Cans
5
200
5:8 =
Bottles
8
320
The ratio of Jamal's recycling this
year is/is not equivalent to his ratic
of recycling last year.

Answer 1

The ratio pf Jamal's recycling this year IS equivalent to his ratio of recycling last year.

Explanation:

We'll have 2 options to compare the ratio

1st option is to check whether it's equal

`(5)/(8) =(200)/(320) \\5(320) = 8(200)\\1,600 = 1,600`

2nd we can simplify this year's recycling

`(200)/(320) \\`

Divide both the numerator and the denominator by 40

200/40 = 5

320/40 = 8

5/8