Flynn, Nick and Peter had 248 erasers. After Flynn used 12 erasers and Nick used
27 of her erasers, Flynn had twice as many erasers left as Nick. Peter bought another 20 erasers, he had thrice the number of erasers Nick had left. How many erasers did Peter have at first?
| |
Flynn |
Nick |
Peter |
Total |
| Before |
10 u + 12 |
7 u |
15 u - 20 |
248 |
| Change |
- 12 |
- 2 u |
+ 20 |
|
| After |
10 u |
5 u |
15 u |
|
Comparing Flynn
and Nick in the end |
2 |
1 |
|
|
Comparing Peter
and Nick in the end |
|
1 |
3 |
|
Number of erasers that Flynn had in the end
= 2 x 5 u
= 10 u
Number of erasers that Peter had in the end
= 3 x 5 u
= 15 u
Total number of erasers at first
= 10 u + 12 + 7 u + 15 u - 20
= 32 u - 8
32 u - 8 = 248
32 u = 248 + 8
32 u = 256
1 u = 256 ÷ 32 = 8
Number of erasers that Peter had at first
= 15 u - 20
= 15 x 8 - 20
= 120 - 20
= 100
Answer(s): 100
