Nick has 40% more cards than Henry. Charlie has 80% the number of cards Nick has.
- What is the ratio of the number of Henry's cards to the number of Charlie's cards?
- If the total number of cards of Nick's and Charlie's is 380 more than Henry's, how many cards does Nick have?
Nick |
Henry |
Charlie |
7x5 |
5x5 |
|
5x7 |
|
4x7 |
35 u |
25 u |
28 u |
100% + 40% = 140%
140% =
140100 =
75 Nick's cards : Henry's cards = 35 : 25
80% =
80100 =
45 Charlie's cards : Nick's cards = 28 : 35
Henry's cards: Charlie's cards = 25 : 28 (a)
Nick's cards + Charlie's cards = 35 u + 28 u = 63 u
Henry's cards = 25 u
63 u - 25 u = 380
38 u = 380
1 u = 380 ÷ 38 = 10
Number of Nick's cards
= 35 u
= 35 x 10
= 350 (b)
Answers: (a) 25 : 28; (b) 350