Perry, Gabriel and Charlie collected erasers in the ratio of 9 : 5 : 7. After Charlie gave
710 to Perry and Gabriel, Charlie had 452 less erasers than Perry. The number of erasers that Gabriel had increased by 10%. How many erasers did Perry and Charlie have in the end?
|
Perry |
Gabriel |
Charlie |
Before |
9 u |
5 u |
7 u |
Change |
+ 4.4 u |
+ 0.5 u |
- 4.9 u |
After |
13.4 u |
5.5 u |
2.1 u |
Number of erasers that Charlie gave to Perry and Gabriel
=
710 x 7 u
= 4.9 u
Number of erasers that Gabriel received from Charlie
=
10100 x 5 u
= 0.5 u
Number of erasers that Perry received from Charlie
= 4.9 u - 0.5 u
= 4.4 u
Number of less erasers that Charlie had less than Perry
= 13.4 u - 2.1 u
= 11.3 u
11.3 u = 452
1 u = 452 ÷ 11.3 = 40
Number of erasers that Perry and Charlie had
= 13.4 u + 2.1 u
= 15.5 u
= 15.5 x 40
= 620
Answer(s): 620