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