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