Perry bought 44 more buttons than Ryan and Ryan bought 11 buttons more than Julie. The total number of buttons Perry and Ryan bought was 5 times the number of buttons Julie bought.
- How many buttons does Perry need to give Ryan so that they have the same number of buttons?
- How many buttons did all three of them have altogether?
Perry |
Ryan |
Julie |
1 u + 11 + 44 |
1 u + 11 |
1 u |
5 u |
1 u |
(a)
Number of buttons that Perry needs to give Ryan so that they have same number of buttons
= 44 ÷ 2
= 22
(b)
Total number of buttons that Perry and Ryan had
= 1 u + 11 + 44 + 1 u + 11
= 1 u + 1 u + 11 + 44 + 11
= 2 u + 66
5 u = 2 u + 66
5 u - 2 u = 66
3 u = 66
1 u = 66 ÷ 3 = 22
Total number of buttons that all three of them had
= 5 u + 1 u
= 6 u
= 6 x 22
= 132
Answer(s): (a) 22; (b) 132