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