PSLE The ratio of the number of windbreakers to that of shirts in a shopping centre was 8 : 7 in the end. After 65 shirts were sold, the ratio of the number of windbreakers to that of shirts became 3 : 1. What was the total number of windbreakers and shirts in the shopping centre in the end?
|
Windbreakers |
Shirts |
Total |
Before |
8x3 = 24 u |
7x3 = 21 u |
45 u |
Change |
|
- 65 |
|
After |
3x8 = 24 u |
1x8 = 8 u |
32 u |
The number of windbreakers remains unchanged.
Make the number of windbreakers the same.
LCM of 7 and 8 is 24.
Number of shirts sold
= 21 u - 8 u
= 13 u
1 u = 65 ÷ 13 = 5
Total number of windbreakers and shirts in the end
= 24 u + 8 u
= 32 u
= 32 x 5
= 160
Answer(s): 160