Vincent has 40% more coins than Japheth. Tom has 80% the number of coins Vincent has.
- What is the ratio of the number of Japheth's coins to the number of Tom's coins?
- If the total number of coins of Vincent's and Tom's is 304 more than Japheth's, how many coins does Vincent have?
Vincent |
Japheth |
Tom |
7x5 |
5x5 |
|
5x7 |
|
4x7 |
35 u |
25 u |
28 u |
100% + 40% = 140%
140% =
140100 =
75 Vincent's coins : Japheth's coins = 35 : 25
80% =
80100 =
45 Tom's coins : Vincent's coins = 28 : 35
Japheth's coins: Tom's coins = 25 : 28 (a)
Vincent's coins + Tom's coins = 35 u + 28 u = 63 u
Japheth's coins = 25 u
63 u - 25 u = 304
38 u = 304
1 u = 304 ÷ 38 = 8
Number of Vincent's coins
= 35 u
= 35 x 8
= 280 (b)
Answers: (a) 25 : 28; (b) 280