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