Rael and Daniel had 42 wafers altogether. After Rael ate
15 of his wafers and Daniel ate 3 wafers, the number of wafers Daniel had left was twice the number of wafers Rael had left. How many more wafers did Daniel have than Rael at first?
|
Rael |
Daniel |
Total |
Before |
5 u |
8 u + 3 |
42 |
Change |
- 1 u |
- 3 |
|
After |
4 u |
|
|
Comparing Rael and Daniel in the end |
1x4 = 4 u |
2x4 = 8 u |
|
The number of wafers that Rael had in the end is the same. Make the number of wafers that Rael had in the end the same. LCM of 4 and 1 is 4.
Total number of wafers at first
= 5 u + 8 u + 3
= 13 u + 3
13 u + 3 = 42
13 u = 42 - 3
13 u = 39
1 u = 39 ÷ 13 = 3
Number of wafers that Rael had at first
= 5 u
= 5 x 3
= 15
Number of wafers that Daniel had at first
= 42 - 15
= 27
Number of wafers that Daniel had more than Rael at first
= 27 - 15
= 12
Answer(s): 12