Ben had a total of 172 purple and blue heart cutouts. After giving away
34 of the purple heart cutouts and 77 blue heart cutouts, there was an equal number of purple and blue heart cutouts left. How many purple heart cutouts did he have at first?
|
Purple heart cutouts |
Blue heart cutouts |
Total |
Before |
4 u |
1 u + 77 |
172 |
Change |
- 3 u |
- 77 |
|
After |
1 u |
1 u |
|
Total number of heart cutouts at first
= 4 u + 1 u + 77
= 5 u + 77
5 u + 77 = 172
5 u = 172 - 77
5 u = 95
1 u = 95 ÷ 5 = 19
Number of purple heart cutouts that Ben had at first
= 4 u
= 4 x 19
= 76
Answer(s): 76