Cody had 309 more buttons than Sam at first. Then Cody bought 45 more buttons. In the end, Cody has 4 times as many buttons as Sam.
- How many buttons did Sam have?
- Find the total number of buttons Cody and Sam had in the end?
| |
Cody |
Sam |
Total |
| Before |
1 u + 309 |
1 u |
|
| Change |
+ 45 |
|
|
| After |
1 u + 309 + 45 |
1 u |
5 u |
(a)
Before
Number of buttons that Cody had = 1 u + 309
Number of buttons that Sam had = 1 u
After
Number of buttons that Cody had = 1 u + 309 + 45 = 4 u
Number of buttons that Sam had = 1 u
1 u + 309 + 45 = 4u
1 u + 354 = 4 u
4 u - 1 u = 354
3 u = 354
1 u = 354 ÷ 3 = 118
(a)
Number of buttons that Sam had
= 1 u
= 118
(b)
Number of buttons that Cody and Sam had in the end
= 4 u + 1 u
= 5 u
= 5 x 118
= 590
Answer(s): (a) 118; (b) 590
