Ethan, Oliver and Clayton collected cards in the ratio of 9 : 9 : 7. After Clayton gave
45 to Ethan and Oliver, Clayton had 123 less cards than Ethan. The number of cards that Oliver had increased by 10%. How many cards did Ethan and Clayton have in the end?
|
Ethan |
Oliver |
Clayton |
Before |
9 u |
9 u |
7 u |
Change |
+ 4.7 u |
+ 0.9 u |
- 5.6 u |
After |
13.7 u |
9.9 u |
1.4 u |
Number of cards that Clayton gave to Ethan and Oliver
=
45 x 7 u
= 5.6 u
Number of cards that Oliver received from Clayton
=
10100 x 9 u
= 0.9 u
Number of cards that Ethan received from Clayton
= 5.6 u - 0.9 u
= 4.7 u
Number of less cards that Clayton had less than Ethan
= 13.7 u - 1.4 u
= 12.3 u
12.3 u = 123
1 u = 123 ÷ 12.3 = 10
Number of cards that Ethan and Clayton had
= 13.7 u + 1.4 u
= 15.1 u
= 15.1 x 10
= 151
Answer(s): 151