PSLE The ratio of the number of windbreakers to that of sweaters in a boutique was 11 : 9 in the end. After 28 sweaters were sold, the ratio of the number of windbreakers to that of sweaters became 2 : 1. What was the total number of windbreakers and sweaters in the boutique in the end?
|
Windbreakers |
Sweaters |
Total |
Before |
11x2 = 22 u |
9x2 = 18 u |
40 u |
Change |
|
- 28 |
|
After |
2x11 = 22 u |
1x11 = 11 u |
33 u |
The number of windbreakers remains unchanged. Make the number of windbreakers the same.
LCM of 2 and 11 is 22.
Number of sweaters sold
= 18 u - 11 u
= 7 u
1 u = 28 ÷ 7 = 4
Total number of windbreakers and sweaters in the end
= 22 u + 11 u
= 33 u
= 33 x 4
= 132
Answer(s): 132