Kathy had some pomegranate and pear face masks.
14 of them were pomegranate. She gave away
15 of the pomegranate face masks and
15 of the pear face masks. In the end, she had 208 pomegranate and pear face masks altogether. How many pear face masks did Kathy have at first?
|
Pomegranate face masks |
Pear face masks |
Total |
Comparing pomegranate and pear 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 pear face masks at first is repeated. Make the number of pear 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 = 208
1 u = 208 ÷ 16 = 13
Number of pear masks at first
= 15 u
= 15 x 13
= 195
Answer(s): 195