Ethan, Rael and Christopher collected erasers in the ratio of 8 : 7 : 6. After Christopher gave
710 to Ethan and Rael, Christopher had 194 less erasers than Ethan. The number of erasers that Rael had increased by 10%. How many erasers did Ethan and Christopher have in the end?
|
Ethan |
Rael |
Christopher |
Before |
8 u |
7 u |
6 u |
Change |
+ 3.5 u |
+ 0.7 u |
- 4.2 u |
After |
11.5 u |
7.7 u |
1.8 u |
Number of erasers that Christopher gave to Ethan and Rael
=
710 x 6 u
= 4.2 u
Number of erasers that Rael received from Christopher
=
10100 x 7 u
= 0.7 u
Number of erasers that Ethan received from Christopher
= 4.2 u - 0.7 u
= 3.5 u
Number of less erasers that Christopher had less than Ethan
= 11.5 u - 1.8 u
= 9.7 u
9.7 u = 194
1 u = 194 ÷ 9.7 = 20
Number of erasers that Ethan and Christopher had
= 11.5 u + 1.8 u
= 13.3 u
= 13.3 x 20
= 266
Answer(s): 266