Asher bought 64 more marbles than Eric and Eric bought 23 marbles more than Joelle. The total number of marbles Asher and Eric bought was 4 times the number of marbles Joelle bought.
- How many marbles does Asher need to give Eric so that they have the same number of marbles?
- How many marbles did all three of them have altogether?
Asher |
Eric |
Joelle |
1 u + 23 + 64 |
1 u + 23 |
1 u |
4 u |
1 u |
(a)
Number of marbles that Asher needs to give Eric so that they have same number of marbles
= 64 ÷ 2
= 32
(b)
Total number of marbles that Asher and Eric had
= 1 u + 23 + 64 + 1 u + 23
= 1 u + 1 u + 23 + 64 + 23
= 2 u + 110
4 u = 2 u + 110
4 u - 2 u = 110
2 u = 110
1 u = 110 ÷ 2 = 55
Total number of marbles that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 55
= 275
Answer(s): (a) 32; (b) 275