Jenson has 40% more cards than Wesley. Seth has 80% the number of cards Jenson has.
- What is the ratio of the number of Wesley's cards to the number of Seth's cards?
- If the total number of cards of Jenson's and Seth's is 342 more than Wesley's, how many cards does Jenson have?
Jenson |
Wesley |
Seth |
7x5 |
5x5 |
|
5x7 |
|
4x7 |
35 u |
25 u |
28 u |
100% + 40% = 140%
140% =
140100 =
75 Jenson's cards : Wesley's cards = 35 : 25
80% =
80100 =
45 Seth's cards : Jenson's cards = 28 : 35
Wesley's cards: Seth's cards = 25 : 28 (a)
Jenson's cards + Seth's cards = 35 u + 28 u = 63 u
Wesley's cards = 25 u
63 u - 25 u = 342
38 u = 342
1 u = 342 ÷ 38 = 9
Number of Jenson's cards
= 35 u
= 35 x 9
= 315 (b)
Answers: (a) 25 : 28; (b) 315