Valen bought 34 more buttons than Billy and Billy bought 25 buttons more than Erika. The total number of buttons Valen and Billy bought was 4 times the number of buttons Erika bought.
- How many buttons does Valen need to give Billy so that they have the same number of buttons?
- How many buttons did all three of them have altogether?
Valen |
Billy |
Erika |
1 u + 25 + 34 |
1 u + 25 |
1 u |
4 u |
1 u |
(a)
Number of buttons that Valen needs to give Billy so that they have same number of buttons
= 34 ÷ 2
= 17
(b)
Total number of buttons that Valen and Billy had
= 1 u + 25 + 34 + 1 u + 25
= 1 u + 1 u + 25 + 34 + 25
= 2 u + 84
4 u = 2 u + 84
4 u - 2 u = 84
2 u = 84
1 u = 84 ÷ 2 = 42
Total number of buttons that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 42
= 210
Answer(s): (a) 17; (b) 210