PSLE The ratio of the number of jackets to that of windbreakers in a shop was 3 : 2 at first. After 38 windbreakers were sold, the ratio of the number of jackets to that of windbreakers became 11 : 1. What was the total number of jackets and windbreakers in the shop at first?
|
Jackets |
Windbreakers |
Total |
Before |
3x11 = 33 u |
2x11 = 22 u |
55 u |
Change |
|
- 38 |
|
After |
11x3 = 33 u |
1x3 = 3 u |
36 u |
The number of jackets remains unchanged. Make the number of jackets the same.
LCM of 11 and 3 is 33.
Number of windbreakers sold
= 22 u - 3 u
= 19 u
1 u = 38 ÷ 19 = 2
Total number of jackets and windbreakers at first
= 33 u + 22 u
= 55 u
= 55 x 2
= 110
Answer(s): 110