Emily had some pomegranate and mangosteen face masks.
14 of them were pomegranate. She gave away
15 of the pomegranate face masks and
15 of the mangosteen face masks. In the end, she had 144 pomegranate and mangosteen face masks altogether. How many mangosteen face masks did Emily have at first?
|
Pomegranate face masks |
Mangosteen face masks |
Total |
Comparing pomegranate and mangosteen face masks at first |
1x5 = 5 u |
3x5 = 15 u |
4x5 = 20 u |
Before |
5 u |
5x3 = 15 u |
|
Change |
- 1 u |
- 1x3 = - 3 u |
|
After |
4 u |
4x3 = 12 u |
|
The number of mangosteen face masks at first is repeated. Make the number of mangosteen face masks the same. LCM of 3 and 5 is 15.
Total number of face masks in the end
= 4 u + 12 u
= 16 u
16 u = 144
1 u = 144 ÷ 16 = 9
Number of mangosteen masks at first
= 15 u
= 15 x 9
= 135
Answer(s): 135