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