PSLE The ratio of the number of jackets to that of sweaters in a shopping centre was 7 : 6 at first. After 20 sweaters were sold, the ratio of the number of jackets to that of sweaters became 2 : 1. What was the total number of jackets and sweaters in the shopping centre at first?
|
Jackets |
Sweaters |
Total |
Before |
7x2 = 14 u |
6x2 = 12 u |
26 u |
Change |
|
- 20 |
|
After |
2x7 = 14 u |
1x7 = 7 u |
21 u |
The number of jackets remains unchanged. Make the number of jackets the same.
LCM of 2 and 7 is 14.
Number of sweaters sold
= 12 u - 7 u
= 5 u
1 u = 20 ÷ 5 = 4
Total number of jackets and sweaters at first
= 14 u + 12 u
= 26 u
= 26 x 4
= 104
Answer(s): 104