Emily has 11 buttons fewer than Cathy but 45 buttons more than Xavier. The three children have 149 buttons altogether.
- How many buttons does Xavier have?
- How many buttons does Cathy have?
(a)
Number of buttons Cathy has = 1 u
Number of buttons Emily has = 1 u - 11
Number of buttons Xavier has = 1 u - 11 - 45 = 1 u - 56
Total number of buttons
= 1 u + 1 u - 11 + 1 u - 56
= 3 u - 67
3 u - 67 = 149
3 u = 149 + 67
3 u = 216
1 u = 216 ÷ 3 = 72
Number of buttons that Xavier has
= 1 u - 56
= 72 - 56
= 16
(b)
Number of buttons that Cathy has
= 1 u
= 72
Answer(s): (a) 16; (b) 72
