Perry, Rael and Charles collected cards in the ratio of 11 : 4 : 10. After Charles gave
710 to Perry and Rael, Charles had 570 less cards than Perry. The number of cards that Rael had increased by 90%. How many cards did Perry and Charles have in the end?
| |
Perry |
Rael |
Charles |
| Before |
11 u |
4 u |
10 u |
| Change |
+ 3.4 u |
+ 3.6 u |
- 7 u |
| After |
14.4 u |
7.6 u |
3 u |
Number of cards that Charles gave to Perry and Rael
=
710 x 10 u
= 7 u
Number of cards that Rael received from Charles
=
90100 x 4 u
= 3.6 u
Number of cards that Perry received from Charles
= 7 u - 3.6 u
= 3.4 u
Number of less cards that Charles had less than Perry
= 14.4 u - 3 u
= 11.4 u
11.4 u = 570
1 u = 570 ÷ 11.4 = 50
Number of cards that Perry and Charles had
= 14.4 u + 3 u
= 17.4 u
= 17.4 x 50
= 870
Answer(s): 870
