Fabian bought 44 more marbles than Jenson and Jenson bought 27 marbles more than Victoria. The total number of marbles Fabian and Jenson bought was 4 times the number of marbles Victoria bought.
- How many marbles does Fabian need to give Jenson so that they have the same number of marbles?
- How many marbles did all three of them have altogether?
Fabian |
Jenson |
Victoria |
1 u + 27 + 44 |
1 u + 27 |
1 u |
4 u |
1 u |
(a)
Number of marbles that Fabian needs to give Jenson so that they have same number of marbles
= 44 ÷ 2
= 22
(b)
Total number of marbles that Fabian and Jenson had
= 1 u + 27 + 44 + 1 u + 27
= 1 u + 1 u + 27 + 44 + 27
= 2 u + 98
4 u = 2 u + 98
4 u - 2 u = 98
2 u = 98
1 u = 98 ÷ 2 = 49
Total number of marbles that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 49
= 245
Answer(s): (a) 22; (b) 245