In a kiosk that sells coats, 1615 black 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 pink coats. Given that the number of pink coats sold was 20% of the total number of coats sold, how many yellow and black coats were sold altogether?
10% =
10100 =
110 40% =
40100 =
25 20% =
20100 =
15
Black |
Yellow |
Grey |
Pink |
1615 |
1x5 |
9x5 |
|
|
2x9 |
3x9 |
4x27 |
1x27 |
85 u |
5 u |
18 u |
27 u |
The total number of grey and pink shirts is the combined repeated identity. Make the total number of grey and pink shirts the same. LCM of 9 and 5 is 45.
The number of pink shirts is repeated. Make the number of pink shirts the same. LCM of 27 and 1 is 27.
Number of black coats
= 108 u - 5 u - 18 u
= 85 u
85 u = 1615
1 u = 1615 ÷ 85 = 19
Number of yellow and black coats
= 5 u + 1615
= (5 x 19) + 1615
= 95 + 1615
= 1710
Answer(s): 1710