Gabriel has thrice as many buttons as Billy. Billy has 6 more buttons than Justin. They have a total of 119 buttons.
- How many buttons does Gabriel have?
- How many buttons does Justin have?
(a)
Number of buttons that Billy has = 1 u
Number of buttons that Justin has = 1 u - 6
Number of buttons that Gabriel has = 3 u
Total number of buttons
= 1 u + 1 u - 6 + 3 u
= 5 u - 6
5 u - 6 = 119
5 u = 119 + 6
5 u = 125
1 u = 125 ÷ 5 = 25
Number of buttons that Gabriel has
= 3 u
= 3 x 25
= 75
(b)
Number of buttons that Justin has
= 1 u - 6
= 25 - 6
= 19
Answer(s): (a) 75; (b) 19