Penelope had some mangosteen and mango face masks.
16 of them were mangosteen. She gave away
13 of the mangosteen face masks and
13 of the mango face masks. In the end, she had 120 mangosteen and mango face masks altogether. How many mango face masks did Penelope have at first?
| |
Mangosteen face masks |
Mango face masks |
Total |
Comparing mangosteen and mango 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 mango face masks at first is repeated. Make the number of mango 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 mango masks at first
= 15 u
= 15 x 10
= 150
Answer(s): 150
