In a boutique that sells sweaters, 1200 purple sweaters were sold and 50% of the remaining sweaters that were sold were grey. Of the leftover, 40% of the sweaters sold were black sweaters and the rest were white sweaters. Given that the number of white sweaters sold was 5% of the total number of sweaters sold, how many grey and white sweaters were sold altogether?
50% =
50100 =
12 40% =
40100 =
25 5% =
5100 =
120
| Purple |
Grey |
Black |
White |
| 1200 |
1x5 |
1x5 |
| |
|
2x1 |
3x1 |
| 19x3 |
1x3 |
| 50 u |
5 u |
2 u |
3 u |
The total number of black and white shirts is the combined repeated identity. Make the total number of black and white shirts the same. LCM of 1 and 5 is 5.
The number of white shirts is repeated. Make the number of white shirts the same. LCM of 3 and 1 is 3.
Number of purple sweaters
= 57 u - 5 u - 2 u
= 50 u
50 u = 1200
1 u = 1200 ÷ 50 = 24
Number of grey and white sweaters
= 5 u + 3 u
= 8 u
= 8 x 24
= 192
Answer(s): 192
