Jeremy, Tim and Cai collected cards in the ratio of 7 : 4 : 7. After Cai gave
710 to Jeremy and Tim, Cai had 112 less cards than Jeremy. The number of cards that Tim had increased by 105%. How many cards did Jeremy and Cai have in the end?
| |
Jeremy |
Tim |
Cai |
| Before |
7 u |
4 u |
7 u |
| Change |
+ 0.7 u |
+ 4.2 u |
- 4.9 u |
| After |
7.7 u |
8.2 u |
2.1 u |
Number of cards that Cai gave to Jeremy and Tim
=
710 x 7 u
= 4.9 u
Number of cards that Tim received from Cai
=
105100 x 4 u
= 4.2 u
Number of cards that Jeremy received from Cai
= 4.9 u - 4.2 u
= 0.7 u
Number of less cards that Cai had less than Jeremy
= 7.7 u - 2.1 u
= 5.6 u
5.6 u = 112
1 u = 112 ÷ 5.6 = 20
Number of cards that Jeremy and Cai had
= 7.7 u + 2.1 u
= 9.8 u
= 9.8 x 20
= 196
Answer(s): 196
