Reggie bought 28 more marbles than Jenson and Jenson bought 13 marbles more than John. The total number of marbles Reggie and Jenson bought was 8 times the number of marbles John bought.
- How many marbles does Reggie need to give Jenson so that they have the same number of marbles?
- How many marbles did all three of them have altogether?
(a)
Since Reggie had 28 marbles more than Jenson, Reggie needed to give half of his extra marbles to Jenson.
Number of marbles that Reggie needs to give to Jenson
= 28 ÷ 2
= 14
(b)
Number of marbles that John bought = 1 u
Number of marbles that Jenson bought = 1 u + 13
Number of marbles that Reggie bought
= 1 u + 13 + 28
= 1 u + 41
Number of marbles that Jenson and Reggie bought
= 1 u + 13 + 1 u + 41
= 2 u + 54
Total number of marbles that Reggie and Jenson bought is 8 times the number that John bought.
Number of marbles that Jenson and Reggie bought = 8 u
8 u = 2 u + 54
8 u - 2 u = 54
6 u = 54
1 u = 54 ÷ 6 = 9
Total number of marbles
= 8 u + 1 u
= 9 u
= 9 x 9
= 81
Answer(s): (a) 14; (b) 81
