Wesley and Eric had 90 biscuits altogether. After Wesley ate
13 of his biscuits and Eric ate 2 biscuits, the number of biscuits Eric had left was four times the number of biscuits Wesley had left. How many more biscuits did Eric have than Wesley at first?
|
Wesley |
Eric |
Total |
Before |
3 u |
8 u + 2 |
90 |
Change |
- 1 u |
- 2 |
|
After |
2 u |
|
|
Comparing Wesley and Eric in the end |
1x2 = 2 u |
4x2 = 8 u |
|
The number of biscuits that Wesley had in the end is the same. Make the number of biscuits that Wesley had in the end the same. LCM of 2 and 1 is 2.
Total number of biscuits at first
= 3 u + 8 u + 2
= 11 u + 2
11 u + 2 = 90
11 u = 90 - 2
11 u = 88
1 u = 88 ÷ 11 = 8
Number of biscuits that Wesley had at first
= 3 u
= 3 x 8
= 24
Number of biscuits that Eric had at first
= 90 - 24
= 66
Number of biscuits that Eric had more than Wesley at first
= 66 - 24
= 42
Answer(s): 42