In a shopping centre that sells shirts, 4650 purple shirts were sold and 10% of the remaining shirts that were sold were grey. Of the leftover, 60% of the shirts sold were pink shirts and the rest were white shirts. Given that the number of white shirts sold was 5% of the total number of shirts sold, how many grey and purple shirts were sold altogether?
10% =
10100 =
110 60% =
60100 =
35 5% =
5100 =
120
| Purple |
Grey |
Pink |
White |
| 4650 |
1x5 |
9x5 |
| |
|
3x9 |
2x9 |
| 19x18 |
1x18 |
| 310 u |
5 u |
27 u |
18 u |
The total number of pink and white shirts is the combined repeated identity. Make the total number of pink and white shirts the same. LCM of 9 and 5 is 45.
The number of white shirts is repeated. Make the number of white shirts the same. LCM of 18 and 1 is 18.
Number of purple shirts
= 342 u - 5 u - 27 u
= 310 u
310 u = 4650
1 u = 4650 ÷ 10 = 15
Number of grey and purple shirts
= 5 u + 4650
= 5 x 15 + 4650
= 75 + 4650
= 4725
Answer(s): 4725
