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