Jane had some mangosteen and persimmon face masks.
14 of them were mangosteen. She gave away
15 of the mangosteen face masks and
15 of the persimmon face masks. In the end, she had 192 mangosteen and persimmon face masks altogether. How many persimmon face masks did Jane have at first?
| |
Mangosteen face masks |
Persimmon face masks |
Total |
Comparing mangosteen and persimmon 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 persimmon face masks at first is repeated. Make the number of persimmon 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 = 192
1 u = 192 ÷ 16 = 12
Number of persimmon masks at first
= 15 u
= 15 x 12
= 180
Answer(s): 180
