In a boutique that sells sweaters, 352 green sweaters were sold and 10% of the remaining sweaters that were sold were red. Of the leftover, 60% of the sweaters sold were black sweaters and the rest were grey sweaters. Given that the number of grey sweaters sold was 25% of the total number of sweaters sold, how many red and green sweaters were sold altogether?
10% =
10100 =
110 60% =
60100 =
35 25% =
25100 =
14
Green |
Red |
Black |
Grey |
352 |
1x5 |
9x5 |
|
|
3x9 |
2x9 |
3x18 |
1x18 |
22 u |
5 u |
27 u |
18 u |
The total number of black and grey shirts is the combined repeated identity. Make the total number of black and grey shirts the same. LCM of 9 and 5 is 45.
The number of grey shirts is repeated. Make the number of grey shirts the same. LCM of 18 and 1 is 18.
Number of green sweaters
= 54 u - 5 u - 27 u
= 22 u
22 u = 352
1 u = 352 ÷ 22 = 16
Number of red and green sweaters
= 5 u + 352
= (5 x 16) + 352
= 80 + 352
= 432
Answer(s): 432