Seth, Sean and Charlie collected erasers in the ratio of 12 : 7 : 7. After Charlie gave
35 to Seth and Sean, Charlie had 508 less erasers than Seth. The number of erasers that Sean had increased by 10%. How many erasers did Seth and Charlie have in the end?
|
Seth |
Sean |
Charlie |
Before |
12 u |
7 u |
7 u |
Change |
+ 3.5 u |
+ 0.7 u |
- 4.2 u |
After |
15.5 u |
7.7 u |
2.8 u |
Number of erasers that Charlie gave to Seth and Sean
=
35 x 7 u
= 4.2 u
Number of erasers that Sean received from Charlie
=
10100 x 7 u
= 0.7 u
Number of erasers that Seth received from Charlie
= 4.2 u - 0.7 u
= 3.5 u
Number of less erasers that Charlie had less than Seth
= 15.5 u - 2.8 u
= 12.7 u
12.7 u = 508
1 u = 508 ÷ 12.7 = 40
Number of erasers that Seth and Charlie had
= 15.5 u + 2.8 u
= 18.3 u
= 18.3 x 40
= 732
Answer(s): 732