Ryan bought 76 more buttons than Bobby and Bobby bought 15 buttons more than Gwen. The total number of buttons Ryan and Bobby bought was 4 times the number of buttons Gwen bought.
- How many buttons does Ryan need to give Bobby so that they have the same number of buttons?
- How many buttons did all three of them have altogether?
Ryan |
Bobby |
Gwen |
1 u + 15 + 76 |
1 u + 15 |
1 u |
4 u |
1 u |
(a)
Number of buttons that Ryan needs to give Bobby so that they have same number of buttons
= 76 ÷ 2
= 38
(b)
Total number of buttons that Ryan and Bobby had
= 1 u + 15 + 76 + 1 u + 15
= 1 u + 1 u + 15 + 76 + 15
= 2 u + 106
4 u = 2 u + 106
4 u - 2 u = 106
2 u = 106
1 u = 106 ÷ 2 = 53
Total number of buttons that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 53
= 265
Answer(s): (a) 38; (b) 265