PSLE The ratio of the number of sweaters to that of skirts in a boutique was 9 : 7 at first. After 114 skirts were sold, the ratio of the number of sweaters to that of skirts became 4 : 1. What was the total number of sweaters and skirts in the boutique at first?
|
Sweaters |
Skirts |
Total |
Before |
9x4 = 36 u |
7x4 = 28 u |
64 u |
Change |
|
- 114 |
|
After |
4x9 = 36 u |
1x9 = 9 u |
45 u |
The number of sweaters remains unchanged.
Make the number of sweaters the same.
LCM of 7 and 9 is 36.
Number of skirts sold
= 28 u - 9 u
= 19 u
1 u = 114 ÷ 19 = 6
Total number of sweaters and skirts at first
= 36 u + 28 u
= 64 u
= 64 x 6
= 384
Answer(s): 384