Penelope had some orange and pomegranate face masks.
15 of them were orange. She gave away
13 of the orange face masks and
16 of the pomegranate face masks. In the end, she had 96 orange and pomegranate face masks altogether. How many pomegranate face masks did Penelope have at first?
| |
Orange face masks |
Pomegranate face masks |
Total |
Comparing orange and pomegranate face masks
at first |
1x3 =
3 u |
4x3 =
12 u |
5x3 =
15 u |
Before |
3 u |
6x2 =
12 u |
|
Change |
- 1 u |
- 1x2 =
- 2 u |
|
After |
2 u |
5x2 =
10 u |
|
The number of pomegranate face masks at first is repeated. Make the number of pomegranate face masks the same. LCM of 4 and 6 is 12.
Total number of face masks in the end
= 2 u + 10 u
= 12 u
12 u = 96
1 u = 96 ÷ 12 = 8
Number of pomegranate masks at first
= 12 u
= 12 x 8
= 96
Answer(s): 96
