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