In a shop that sells coats, 120 black coats were sold and 10% of the remaining coats that were sold were pink. Of the leftover, 60% of the coats sold were silver coats and the rest were red coats. Given that the number of red coats sold was 20% of the total number of coats sold, how many pink and black coats were sold altogether?
10% =
10100 =
110 60% =
60100 =
35 20% =
20100 =
15
Black |
Pink |
Silver |
Red |
120 |
1x5 |
9x5 |
|
|
3x9 |
2x9 |
4x18 |
1x18 |
40 u |
5 u |
27 u |
18 u |
The total number of silver and red shirts is the combined repeated identity. Make the total number of silver and red shirts the same. LCM of 9 and 5 is 45.
The number of red shirts is repeated. Make the number of red shirts the same. LCM of 18 and 1 is 18.
Number of black coats
= 72 u - 5 u - 27 u
= 40 u
40 u = 120
1 u = 120 ÷ 10 = 3
Number of pink and black coats
= 5 u + 120
= 5 x 3 + 120
= 15 + 120
= 135
Answer(s): 135