Ryan has twice as many buttons as Andy. Andy has 9 more buttons than Jeremy. They have a total of 83 buttons.
- How many buttons does Ryan have?
- How many buttons does Jeremy have?
(a)
Number of buttons that Andy has = 1 u
Number of buttons that Jeremy has = 1 u - 9
Number of buttons that Ryan has = 2 u
Total number of buttons
= 1 u + 1 u - 9 + 2 u
= 4 u - 9
4 u - 9 = 83
4 u = 83 + 9
4 u = 92
1 u = 92 ÷ 4 = 23
Number of buttons that Ryan has
= 2 u
= 2 x 23
= 46
(b)
Number of buttons that Jeremy has
= 1 u - 9
= 23 - 9
= 14
Answer(s): (a) 46; (b) 14