Question

PLEASE EXPLAIN
1. the ratio of a to b is 3:5. the ratio of b to c is 3:5. find the ratio of a:b:c
2. the ratio of P to Q is 5:9. the ratio of P to R is 2:7. find the ratio of P:Q :R
3 the ratio of k to m is 3:11, the ratio of k to l is 3:5. find the ratio of k to the sum of l and m

Answer 1

i) Balancing a:b and b:c:-

a/b:b/c

3/5:3/5

Sice b is common in the ratio

Therefore we will balance b.

3×3/5×3:3×5/5×5

9/15:15/25

Therefore a:b:c=9:15:25

ii) Balancing p

p/q:p/r

5/9:2/7

5×2/9×2:2×5/7×5

10/18:10/35

Therefore, p:q:r=10:18:35