Fabian bought 42 more buttons than Tim and Tim bought 15 buttons more than Tiffany. The total number of buttons Fabian and Tim bought was 6 times the number of buttons Tiffany bought.
- How many buttons does Fabian need to give Tim so that they have the same number of buttons?
- How many buttons did all three of them have altogether?
Fabian |
Tim |
Tiffany |
1 u + 15 + 42 |
1 u + 15 |
1 u |
6 u |
1 u |
(a)
Number of buttons that Fabian needs to give Tim so that they have same number of buttons
= 42 ÷ 2
= 21
(b)
Total number of buttons that Fabian and Tim had
= 1 u + 15 + 42 + 1 u + 15
= 1 u + 1 u + 15 + 42 + 15
= 2 u + 72
6 u = 2 u + 72
6 u - 2 u = 72
4 u = 72
1 u = 72 ÷ 4 = 18
Total number of buttons that all three of them had
= 6 u + 1 u
= 7 u
= 7 x 18
= 126
Answer(s): (a) 21; (b) 126