PSLE The ratio of the number of jackets to that of coats in a boutique was 10 : 9 at first. After 54 coats were sold, the ratio of the number of jackets to that of coats became 11 : 9. What was the total number of jackets and coats in the boutique at first?
|
Jackets |
Coats |
Total |
Before |
10x11 = 110 u |
9x11 = 99 u |
209 u |
Change |
|
- 54 |
|
After |
11x10 = 110 u |
9x10 = 90 u |
200 u |
The number of jackets remains unchanged.
Make the number of jackets the same.
LCM of 9 and 10 is 110.
Number of coats sold
= 99 u - 90 u
= 9 u
1 u = 54 ÷ 9 = 6
Total number of jackets and coats at first
= 110 u + 99 u
= 209 u
= 209 x 6
= 1254
Answer(s): 1254