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