Ryan bought 83 notebooks and Cody bought 94 notebooks. After Cody used
35 times as many notebooks as Ryan, he was left with four times as many notebooks as Ryan. How many notebooks did each of them have in the end?
- Ryan
- Cody
| |
Make p the same.
(1)x4 = (3) |
Ryan
(1) |
Cody
(2) |
| Before |
332 |
83 |
94 |
| Change |
- 20 u |
- 5 u |
- 3 u |
| After |
4 p |
1 p |
4 p |
(a)
83 - 5 u = 1 p --- (1)
94 - 3 u =
4 p --- (2)
(1)
x4
332 - 20 u =
4 p --- (3)
(3) = (2)
94 - 3 u = 332 - 20 u
20 u - 3 u = 332 - 94
17 u = 238
1 u = 238 ÷ 17 = 14
Number of notebooks that Ryan had in the end
= 83 - 5 u
= 83 - 5 x 14
= 83 - 70
= 13
(b)
1 p = 13
Number of notebooks that Cody had in the end
= 4 p
= 4 x 13
= 52
Answer(s): (a) 13; (b) 52
