PSLE The ratio of the number of shirts to that of sweaters in a factory outlet was 7 : 4 in the end. After 78 sweaters were sold, the ratio of the number of shirts to that of sweaters became 12 : 5. What was the total number of shirts and sweaters in the factory outlet in the end?
|
Shirts |
Sweaters |
Total |
Before |
7x12 = 84 u |
4x12 = 48 u |
132 u |
Change |
|
- 78 |
|
After |
12x7 = 84 u |
5x7 = 35 u |
119 u |
The number of shirts remains unchanged. Make the number of shirts the same.
LCM of 12 and 7 is 84.
Number of sweaters sold
= 48 u - 35 u
= 13 u
1 u = 78 ÷ 13 = 6
Total number of shirts and sweaters in the end
= 84 u + 35 u
= 119 u
= 119 x 6
= 714
Answer(s): 714