In a shopping centre that sells jackets, 70 blue jackets were sold and 25% of the remaining jackets that were sold were pink. Of the leftover, 60% of the jackets sold were grey jackets and the rest were purple jackets. Given that the number of purple jackets sold was 20% of the total number of jackets sold, how many pink and purple jackets were sold altogether?
25% =
25100 =
14 60% =
60100 =
35 20% =
20100 =
15
| Blue |
Pink |
Grey |
Purple |
| 70 |
1x5 |
3x5 |
| |
|
3x3 |
2x3 |
| 4x6 |
1x6 |
| 10 u |
5 u |
9 u |
6 u |
The total number of grey and purple shirts is the combined repeated identity. Make the total number of grey 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 6 and 1 is 6.
Number of blue jackets
= 24 u - 5 u - 9 u
= 10 u
10 u = 70
1 u = 70 ÷ 10 = 7
Number of pink and purple jackets
= 5 u + 6 u
= 11 u
= 11 x 7
= 77
Answer(s): 77
