In a shopping centre that sells jumpsuits, 880 gold jumpsuits were sold and 10% of the remaining jumpsuits that were sold were purple. Of the leftover, 60% of the jumpsuits sold were white jumpsuits and the rest were blue jumpsuits. Given that the number of blue jumpsuits sold was 20% of the total number of jumpsuits sold, how many purple and gold jumpsuits were sold altogether?
10% =
10100 =
110 60% =
60100 =
35 20% =
20100 =
15
Gold |
Purple |
White |
Blue |
880 |
1x5 |
9x5 |
|
|
3x9 |
2x9 |
4x18 |
1x18 |
40 u |
5 u |
27 u |
18 u |
The total number of white and blue shirts is the combined repeated identity. Make the total number of white and blue shirts the same. LCM of 9 and 5 is 45.
The number of blue shirts is repeated. Make the number of blue shirts the same. LCM of 18 and 1 is 18.
Number of gold jumpsuits
= 72 u - 5 u - 27 u
= 40 u
40 u = 880
1 u = 880 ÷ 40 = 22
Number of purple and gold jumpsuits
= 5 u + 880
= (5 x 22) + 880
= 110 + 880
= 990
Answer(s): 990