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