Harry, Sean and Chester collected cards in the ratio of 7 : 5 : 5. After Chester gave
35 to Harry and Sean, Chester had 75 less cards than Harry. The number of cards that Sean had increased by 10%. How many cards did Harry and Chester have in the end?
| |
Harry |
Sean |
Chester |
| Before |
7 u |
5 u |
5 u |
| Change |
+ 2.5 u |
+ 0.5 u |
- 3 u |
| After |
9.5 u |
5.5 u |
2 u |
Number of cards that Chester gave to Harry and Sean
=
35 x 5 u
= 3 u
Number of cards that Sean received from Chester
=
10100 x 5 u
= 0.5 u
Number of cards that Harry received from Chester
= 3 u - 0.5 u
= 2.5 u
Number of less cards that Chester had less than Harry
= 9.5 u - 2 u
= 7.5 u
7.5 u = 75
1 u = 75 ÷ 7.5 = 10
Number of cards that Harry and Chester had
= 9.5 u + 2 u
= 11.5 u
= 11.5 x 10
= 115
Answer(s): 115
