In a shopping centre that sells coats, 1785 blue coats were sold and 10% of the remaining coats that were sold were yellow. Of the leftover, 40% of the coats sold were grey coats and the rest were purple coats. Given that the number of purple coats sold was 20% of the total number of coats sold, how many yellow and purple coats were sold altogether?
10% =
10100 =
110 40% =
40100 =
25 20% =
20100 =
15
| Blue |
Yellow |
Grey |
Purple |
| 1785 |
1x5 |
9x5 |
| |
|
2x9 |
3x9 |
| 4x27 |
1x27 |
| 85 u |
5 u |
18 u |
27 u |
The total number of grey and purple shirts is the combined repeated identity. Make the total number of grey and purple shirts the same. LCM of 9 and 5 is 45.
The number of purple shirts is repeated. Make the number of purple shirts the same. LCM of 27 and 1 is 27.
Number of blue coats
= 108 u - 5 u - 18 u
= 85 u
85 u = 1785
1 u = 1785 ÷ 85 = 21
Number of yellow and purple coats
= 5 u + 27 u
= 32 u
= 32 x 21
= 672
Answer(s): 672
