Reggie bought 72 more buttons than Rael and Rael bought 20 buttons more than Kathy. The total number of buttons Reggie and Rael bought was 4 times the number of buttons Kathy bought.
- How many buttons does Reggie need to give Rael so that they have the same number of buttons?
- How many buttons did all three of them have altogether?
Reggie |
Rael |
Kathy |
1 u + 20 + 72 |
1 u + 20 |
1 u |
4 u |
1 u |
(a)
Number of buttons that Reggie needs to give Rael so that they have same number of buttons
= 72 ÷ 2
= 36
(b)
Total number of buttons that Reggie and Rael had
= 1 u + 20 + 72 + 1 u + 20
= 1 u + 1 u + 20 + 72 + 20
= 2 u + 112
4 u = 2 u + 112
4 u - 2 u = 112
2 u = 112
1 u = 112 ÷ 2 = 56
Total number of buttons that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 56
= 280
Answer(s): (a) 36; (b) 280