In a shop that sells jackets, 1190 silver jackets were sold and 25% of the remaining jackets that were sold were pink. Of the leftover, 40% of the jackets sold were gold jackets and the rest were purple jackets. Given that the number of purple jackets sold was 10% of the total number of jackets sold, how many pink and silver jackets were sold altogether?
25% =
25100 =
14 40% =
40100 =
25 10% =
10100 =
110
| Silver |
Pink |
Gold |
Purple |
| 1190 |
1x5 |
3x5 |
| |
|
2x3 |
3x3 |
| 9x9 |
1x9 |
| 70 u |
5 u |
6 u |
9 u |
The total number of gold and purple shirts is the combined repeated identity. Make the total number of gold and purple shirts the same. LCM of 3 and 5 is 15.
The number of purple shirts is repeated. Make the number of purple shirts the same. LCM of 9 and 1 is 9.
Number of silver jackets
= 81 u - 5 u - 6 u
= 70 u
70 u = 1190
1 u = 1190 ÷ 25 = 17
Number of pink and silver jackets
= 5 u + 1190
= 5 x 17 + 1190
= 85 + 1190
= 1275
Answer(s): 1275
