Will had 267 buttons less than Cathy. Given that they have a total of 693 buttons,
- How many buttons did Cathy have?
- How many buttons did Will have?
(a)
Number of buttons that Cathy had = 1 u
Number of buttons that Will had = 1 u - 267
Total number of buttons
= 1 u + 1 u - 267
= 2 u - 267
2 u - 267 = 693
2 u = 693 + 267
2 u = 960
1 u = 960 ÷ 2 = 480
Number of buttons that Cathy had
= 1 u
= 480
(b)
Number of buttons that Will had
= 1 u - 267
= 480 - 267
= 213
Answer(s): (a) 480; (b) 213