Warren has twice as many buttons as Ryan. Ryan has 11 more buttons than John. They have a total of 101 buttons.
- How many buttons does Warren have?
- How many buttons does John have?
(a)
Number of buttons that Ryan has = 1 u
Number of buttons that John has = 1 u - 11
Number of buttons that Warren has = 2 u
Total number of buttons
= 1 u + 1 u - 11 + 2 u
= 4 u - 11
4 u - 11 = 101
4 u = 101 + 11
4 u = 112
1 u = 112 ÷ 4 = 28
Number of buttons that Warren has
= 2 u
= 2 x 28
= 56
(b)
Number of buttons that John has
= 1 u - 11
= 28 - 11
= 17
Answer(s): (a) 56; (b) 17