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