Valen bought 68 more buttons than Oliver and Oliver bought 10 buttons more than Linda. The total number of buttons Valen and Oliver bought was 4 times the number of buttons Linda bought.
- How many buttons does Valen need to give Oliver so that they have the same number of buttons?
- How many buttons did all three of them have altogether?
Valen |
Oliver |
Linda |
1 u + 10 + 68 |
1 u + 10 |
1 u |
4 u |
1 u |
(a)
Number of buttons that Valen needs to give Oliver so that they have same number of buttons
= 68 ÷ 2
= 34
(b)
Total number of buttons that Valen and Oliver had
= 1 u + 10 + 68 + 1 u + 10
= 1 u + 1 u + 10 + 68 + 10
= 2 u + 88
4 u = 2 u + 88
4 u - 2 u = 88
2 u = 88
1 u = 88 ÷ 2 = 44
Total number of buttons that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 44
= 220
Answer(s): (a) 34; (b) 220