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