Gwen had some passion fruit and mangosteen face masks.
16 of them were passion fruit. She gave away
14 of the passion fruit face masks and
14 of the mangosteen face masks. In the end, she had 144 passion fruit and mangosteen face masks altogether. How many mangosteen face masks did Gwen have at first?
| |
Passion Fruit face masks |
Mangosteen face masks |
Total |
Comparing passion fruit and mangosteen face masks
at first |
1x4 =
4 u |
5x4 =
20 u |
6x4 =
24 u |
Before |
4 u |
4x5 =
20 u |
|
Change |
- 1 u |
- 1x5 =
- 5 u |
|
After |
3 u |
3x5 =
15 u |
|
The number of mangosteen face masks at first is repeated. Make the number of mangosteen face masks the same. LCM of 5 and 4 is 20.
Total number of face masks in the end
= 3 u + 15 u
= 18 u
18 u = 144
1 u = 144 ÷ 18 = 8
Number of mangosteen masks at first
= 20 u
= 20 x 8
= 160
Answer(s): 160
