In a shop that sells dresses, 240 black dresses were sold and 10% of the remaining dresses that were sold were pink. Of the leftover, 50% of the dresses sold were silver dresses and the rest were brown dresses. Given that the number of brown dresses sold was 25% of the total number of dresses sold, how many pink and black dresses were sold altogether?
10% =
10100 =
110 50% =
50100 =
12 25% =
25100 =
14
Black |
Pink |
Silver |
Brown |
240 |
1x2 |
9x2 |
|
|
1x9 |
1x9 |
3x9 |
1x9 |
16 u |
2 u |
9 u |
9 u |
The total number of silver and brown shirts is the combined repeated identity. Make the total number of silver and brown shirts the same. LCM of 9 and 2 is 18.
The number of brown shirts is repeated. Make the number of brown shirts the same. LCM of 9 and 1 is 9.
Number of black dresses
= 27 u - 2 u - 9 u
= 16 u
16 u = 240
1 u = 240 ÷ 16 = 15
Number of pink and black dresses
= 2 u + 240
= (2 x 15) + 240
= 30 + 240
= 270
Answer(s): 270