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