In a shop that sells jumpsuits, 48 yellow jumpsuits were sold and 50% of the remaining jumpsuits that were sold were purple. Of the leftover, 40% of the jumpsuits sold were pink jumpsuits and the rest were black jumpsuits. Given that the number of black jumpsuits sold was 25% of the total number of jumpsuits sold, how many purple and black jumpsuits were sold altogether?
50% =
50100 =
12 40% =
40100 =
25 25% =
25100 =
14
| Yellow |
Purple |
Pink |
Black |
| 48 |
1x5 |
1x5 |
| |
|
2x1 |
3x1 |
| 3x3 |
1x3 |
| 2 u |
5 u |
2 u |
3 u |
The total number of pink and black shirts is the combined repeated identity. Make the total number of pink and black shirts the same. LCM of 1 and 5 is 5.
The number of black shirts is repeated. Make the number of black shirts the same. LCM of 3 and 1 is 3.
Number of yellow jumpsuits
= 9 u - 5 u - 2 u
= 2 u
2 u = 48
1 u = 48 ÷ 2 = 24
Number of purple and black jumpsuits
= 5 u + 3 u
= 8 u
= 8 x 24
= 192
Answer(s): 192
