Seth has five times as many buttons as Sean. Sean has 12 more buttons than Xavier. They have a total of 86 buttons.
- How many buttons does Seth have?
- How many buttons does Xavier have?
(a)
Number of buttons that Sean has = 1 u
Number of buttons that Xavier has = 1 u - 12
Number of buttons that Seth has = 5 u
Total number of buttons
= 1 u + 1 u - 12 + 5 u
= 7 u - 12
7 u - 12 = 86
7 u = 86 + 12
7 u = 98
1 u = 98 ÷ 7 = 14
Number of buttons that Seth has
= 5 u
= 5 x 14
= 70
(b)
Number of buttons that Xavier has
= 1 u - 12
= 14 - 12
= 2
Answer(s): (a) 70; (b) 2
