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