Riordan bought 34 more marbles than Archie and Archie bought 17 marbles more than Roshel. The total number of marbles Riordan and Archie bought was 4 times the number of marbles Roshel bought.
- How many marbles does Riordan need to give Archie so that they have the same number of marbles?
- How many marbles did all three of them have altogether?
Riordan |
Archie |
Roshel |
1 u + 17 + 34 |
1 u + 17 |
1 u |
4 u |
1 u |
(a)
Number of marbles that Riordan needs to give Archie so that they have same number of marbles
= 34 ÷ 2
= 17
(b)
Total number of marbles that Riordan and Archie had
= 1 u + 17 + 34 + 1 u + 17
= 1 u + 1 u + 17 + 34 + 17
= 2 u + 68
4 u = 2 u + 68
4 u - 2 u = 68
2 u = 68
1 u = 68 ÷ 2 = 34
Total number of marbles that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 34
= 170
Answer(s): (a) 17; (b) 170