Riordan and Asher had 86 biscuits altogether. After Riordan ate
15 of his biscuits and Asher ate 8 biscuits, the number of biscuits Asher had left was twice the number of biscuits Riordan had left. How many more biscuits did Asher have than Riordan at first?
|
Riordan |
Asher |
Total |
Before |
5 u |
8 u + 8 |
86 |
Change |
- 1 u |
- 8 |
|
After |
4 u |
|
|
Comparing Riordan and Asher in the end |
1x4 = 4 u |
2x4 = 8 u |
|
The number of biscuits that Riordan had in the end is the same. Make the number of biscuits that Riordan had in the end the same. LCM of 4 and 1 is 4.
Total number of biscuits at first
= 5 u + 8 u + 8
= 13 u + 8
13 u + 8 = 86
13 u = 86 - 8
13 u = 78
1 u = 78 ÷ 13 = 6
Number of biscuits that Riordan had at first
= 5 u
= 5 x 6
= 30
Number of biscuits that Asher had at first
= 86 - 30
= 56
Number of biscuits that Asher had more than Riordan at first
= 56 - 30
= 26
Answer(s): 26