In a shopping centre that sells vests, 1785 pink vests were sold and 10% of the remaining vests that were sold were gold. Of the leftover, 40% of the vests sold were black vests and the rest were brown vests. Given that the number of brown vests sold was 20% of the total number of vests sold, how many gold and pink vests were sold altogether?
10% =
10100 =
110 40% =
40100 =
25 20% =
20100 =
15
| Pink |
Gold |
Black |
Brown |
| 1785 |
1x5 |
9x5 |
| |
|
2x9 |
3x9 |
| 4x27 |
1x27 |
| 85 u |
5 u |
18 u |
27 u |
The total number of black and brown shirts is the combined repeated identity. Make the total number of black and brown shirts the same. LCM of 9 and 5 is 45.
The number of brown shirts is repeated. Make the number of brown shirts the same. LCM of 27 and 1 is 27.
Number of pink vests
= 108 u - 5 u - 18 u
= 85 u
85 u = 1785
1 u = 1785 ÷ 10 = 21
Number of gold and pink vests
= 5 u + 1785
= 5 x 21 + 1785
= 105 + 1785
= 1890
Answer(s): 1890
