Divide 33 in the ratio 3:8

9 : 24

Step-by-step explanation:

Sum the parts of the ratio, 3 + 8 = 11 parts

Divide 33 by 11 to find the value of one part of the ratio

33 : 11 = 3 ← value of 1 part of the ratio, thus

3 parts = 3 * 3 = 9

8 parts = 8 * 3 = 24

a + b = 33

a/b = 3/8 = > a = 3b/8

3b/8 + b = 33

3b + 8b = 264

11b = 264

b = 24

a = 33 - 24

a = 9