Shannon had some apple and passion fruit face masks.
16 of them were apple. She gave away
13 of the apple face masks and
13 of the passion fruit face masks. In the end, she had 120 apple and passion fruit face masks altogether. How many passion fruit face masks did Shannon have at first?
|
Apple face masks |
Passion Fruit face masks |
Total |
Comparing apple and passion fruit face masks at first |
1x3 = 3 u |
5x3 = 15 u |
6x3 = 18 u |
Before |
3 u |
3x5 = 15 u |
|
Change |
- 1 u |
- 1x5 = - 5 u |
|
After |
2 u |
2x5 = 10 u |
|
The number of passion fruit face masks at first is repeated. Make the number of passion fruit face masks the same. LCM of 5 and 3 is 15.
Total number of face masks in the end
= 2 u + 10 u
= 12 u
12 u = 120
1 u = 120 ÷ 12 = 10
Number of passion fruit masks at first
= 15 u
= 15 x 10
= 150
Answer(s): 150