Nick and Ben had 60 scones altogether. After Nick ate
13 of his scones and Ben ate 8 scones, the number of scones Ben had left was five times the number of scones Nick had left. How many more scones did Ben have than Nick at first?
| |
Nick |
Ben |
Total |
| Before |
3 u |
10 u + 8 |
60 |
| Change |
- 1 u |
- 8 |
|
| After |
2 u |
|
|
Comparing Nick and
Ben in the end |
1x2 =
2 u |
5x2 =
10 u |
|
The number of scones that Nick had in the end is the same. Make the number of scones that Nick had in the end the same. LCM of 2 and 1 is 2.
Total number of scones at first
= 3 u + 10 u + 8
= 13 u + 8
13 u + 8 = 60
13 u = 60 - 8
13 u = 52
1 u = 52 ÷ 13 = 4
Number of scones that Nick had at first
= 3 u
= 3 x 4
= 12
Number of scones that Ben had at first
= 60 - 12
= 48
Number of scones that Ben had more than Nick at first
= 48 - 12
= 36
Answer(s): 36
