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