In a shop that sells coats, 80 green coats were sold and 25% of the remaining coats that were sold were grey. Of the leftover, 60% of the coats sold were purple coats and the rest were black coats. Given that the number of black coats sold was 10% of the total number of coats sold, how many grey and green coats were sold altogether?
25% =
25100 =
14 60% =
60100 =
35 10% =
10100 =
110
Green |
Grey |
Purple |
Black |
80 |
1x5 |
3x5 |
|
|
3x3 |
2x3 |
9x6 |
1x6 |
40 u |
5 u |
9 u |
6 u |
The total number of purple and black shirts is the combined repeated identity. Make the total number of purple and black shirts the same. LCM of 3 and 5 is 15.
The number of black shirts is repeated. Make the number of black shirts the same. LCM of 6 and 1 is 6.
Number of green coats
= 54 u - 5 u - 9 u
= 40 u
40 u = 80
1 u = 80 ÷ 25 = 2
Number of grey and green coats
= 5 u + 80
= 5 x 2 + 80
= 10 + 80
= 90
Answer(s): 90