Nick bought 48 more buttons than Gabriel and Gabriel bought 25 buttons more than Jen. The total number of buttons Nick and Gabriel bought was 4 times the number of buttons Jen bought.
- How many buttons does Nick need to give Gabriel so that they have the same number of buttons?
- How many buttons did all three of them have altogether?
Nick |
Gabriel |
Jen |
1 u + 25 + 48 |
1 u + 25 |
1 u |
4 u |
1 u |
(a)
Number of buttons that Nick needs to give Gabriel so that they have same number of buttons
= 48 ÷ 2
= 24
(b)
Total number of buttons that Nick and Gabriel had
= 1 u + 25 + 48 + 1 u + 25
= 1 u + 1 u + 25 + 48 + 25
= 2 u + 98
4 u = 2 u + 98
4 u - 2 u = 98
2 u = 98
1 u = 98 ÷ 2 = 49
Total number of buttons that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 49
= 245
Answer(s): (a) 24; (b) 245