In a boutique that sells jumpsuits, 1196 blue jumpsuits were sold and 25% of the remaining jumpsuits that were sold were gold. Of the leftover, 50% of the jumpsuits sold were silver jumpsuits and the rest were red jumpsuits. Given that the number of red jumpsuits sold was 5% of the total number of jumpsuits sold, how many gold and blue jumpsuits were sold altogether?
25% =
25100 =
14 50% =
50100 =
12 5% =
5100 =
120
| Blue |
Gold |
Silver |
Red |
| 1196 |
1x2 |
3x2 |
| |
|
1x3 |
1x3 |
| 19x3 |
1x3 |
| 52 u |
2 u |
3 u |
3 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 3 and 2 is 6.
The number of red shirts is repeated. Make the number of red shirts the same. LCM of 3 and 1 is 3.
Number of blue jumpsuits
= 57 u - 2 u - 3 u
= 52 u
52 u = 1196
1 u = 1196 ÷ 25 = 23
Number of gold and blue jumpsuits
= 2 u + 1196
= 2 x 23 + 1196
= 46 + 1196
= 1242
Answer(s): 1242
