Opal had some persimmon and starfruit face masks.
13 of them were persimmon. She gave away
13 of the persimmon face masks and
16 of the starfruit face masks. In the end, she had 98 persimmon and starfruit face masks altogether. How many starfruit face masks did Opal have at first?
|
Persimmon face masks |
Starfruit face masks |
Total |
Comparing persimmon and starfruit face masks at first |
1x3 = 3 u |
2x3 = 6 u |
3x3 = 9 u |
Before |
3 u |
6x1 = 6 u |
|
Change |
- 1 u |
- 1x1 = - 1 u |
|
After |
2 u |
5x1 = 5 u |
|
The number of starfruit face masks at first is repeated. Make the number of starfruit face masks the same. LCM of 2 and 6 is 6.
Total number of face masks in the end
= 2 u + 5 u
= 7 u
7 u = 98
1 u = 98 ÷ 7 = 14
Number of starfruit masks at first
= 6 u
= 6 x 14
= 84
Answer(s): 84