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