Question

Increase a length of 24m so that the ratio of the new length to the old length is 11:8.

Answer 1

33m

Explanation:

The 8 part of the ratio refers to the old length 24m

Divide by 8 to find the value of one part of the ratio

24m ÷ 8 = 3m ← value of 1 part of the ratio, then

11 parts = 11 × 3 = 33m

Thus

33m : 24m = 11 : 8

Answer 2

33m

Explanation:

If the ratio of the new length to the old length is 11:8 (simplified ratio)

I like to set up a proportion, like this,

x/24 = 11/8, where x is the undefined new length

x*8 = 24*11 (cross multiply)

8x = 264 (multiply)

x = 33 (divide 8 by both sides)

The new length is 33m.

Hope I helped! Good Luck!