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