Ryan bought 40 more marbles than Justin and Justin bought 25 marbles more than Raeann. The total number of marbles Ryan and Justin bought was 4 times the number of marbles Raeann bought.
- How many marbles does Ryan need to give Justin so that they have the same number of marbles?
- How many marbles did all three of them have altogether?
Ryan |
Justin |
Raeann |
1 u + 25 + 40 |
1 u + 25 |
1 u |
4 u |
1 u |
(a)
Number of marbles that Ryan needs to give Justin so that they have same number of marbles
= 40 ÷ 2
= 20
(b)
Total number of marbles that Ryan and Justin had
= 1 u + 25 + 40 + 1 u + 25
= 1 u + 1 u + 25 + 40 + 25
= 2 u + 90
4 u = 2 u + 90
4 u - 2 u = 90
2 u = 90
1 u = 90 ÷ 2 = 45
Total number of marbles that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 45
= 225
Answer(s): (a) 20; (b) 225