Rael, Charlie and Cooper collected erasers in the ratio of 9 : 6 : 4. After Cooper gave
15 to Rael and Charlie, Cooper had 180 less erasers than Rael. The number of erasers that Charlie had increased by 10%. How many erasers did Rael and Cooper have in the end?
|
Rael |
Charlie |
Cooper |
Before |
9 u |
6 u |
4 u |
Change |
+ 0.2 u |
+ 0.6 u |
- 0.8 u |
After |
9.2 u |
6.6 u |
3.2 u |
Number of erasers that Cooper gave to Rael and Charlie
=
15 x 4 u
= 0.8 u
Number of erasers that Charlie received from Cooper
=
10100 x 6 u
= 0.6 u
Number of erasers that Rael received from Cooper
= 0.8 u - 0.6 u
= 0.2 u
Number of less erasers that Cooper had less than Rael
= 9.2 u - 3.2 u
= 6 u
6 u = 180
1 u = 180 ÷ 6 = 30
Number of erasers that Rael and Cooper had
= 9.2 u + 3.2 u
= 12.4 u
= 12.4 x 30
= 372
Answer(s): 372