Diana bought thrice as many wafers as Reggie. After Diana ate 5 wafers, she had 7 more wafers than Reggie. How many wafers did they buy altogether?
|
Diana |
Reggie |
Total |
Before |
3 u |
1 u |
4 u |
Change |
- 5 |
|
|
After |
3 u - 5 |
1 u |
|
The number of wafers that Reggie had remains unchanged.
If Reggie had another 7 wafers in the end, the number of wafers that Diana and Reggie had would be the same.
3 u - 5 = 1 u + 7
3 u - 1 u = 7 + 5
2 u = 12
1 u = 12 ÷ 2 = 6
Total number of wafers
= 3 u + 1 u
= 4 u
= 4 x 6
= 24
Answer(s): 24