Question

(c) Mohammed's height is 169 cm and Fatima's height is 156 cm.

The frame sizes of their bikes are in the same ratio as their heights.
The frame size of Mohammed's bike is 52 cm.
Calculate the frame size of Fatima's bike.

Answer 1

156 : 48

Explanation:

Solution:

Since

169 : 52 = 156 : X

Then we know

52/169 = X/156

Multiplying both sides by 156 cancels on the right

156 × (52/169) = (X/156) × 156

156 × (52/169) = X

Then solving for X

X = 156 × (52/169)

X = 48

Therefore

169 : 52 = 156 : 48