PSLE The ratio of the number of windbreakers to that of sweaters in a factory outlet was 3 : 2 in the end. After 42 sweaters were sold, the ratio of the number of windbreakers to that of sweaters became 8 : 3. What was the total number of windbreakers and sweaters in the factory outlet in the end?
|
Windbreakers |
Sweaters |
Total |
Before |
3x8 = 24 u |
2x8 = 16 u |
40 u |
Change |
|
- 42 |
|
After |
8x3 = 24 u |
3x3 = 9 u |
33 u |
The number of windbreakers remains unchanged. Make the number of windbreakers the same.
LCM of 8 and 3 is 24.
Number of sweaters sold
= 16 u - 9 u
= 7 u
1 u = 42 ÷ 7 = 6
Total number of windbreakers and sweaters in the end
= 24 u + 9 u
= 33 u
= 33 x 6
= 198
Answer(s): 198