Raeann bought 60 notebooks and Gabriel bought 90 notebooks. After Gabriel used
37 times as many notebooks as Raeann, he was left with thrice as many notebooks as Raeann. How many notebooks did each of them have in the end?
- Raeann
- Gabriel
| |
Make p the same.
(1)x3 = (3) |
Raeann
(1) |
Gabriel
(2) |
| Before |
180 |
60 |
90 |
| Change |
- 21 u |
- 7 u |
- 3 u |
| After |
3 p |
1 p |
3 p |
(a)
60 - 7 u = 1 p --- (1)
90 - 3 u =
3 p --- (2)
(1)
x3
180 - 21 u =
3 p --- (3)
(3) = (2)
90 - 3 u = 180 - 21 u
21 u - 3 u = 180 - 90
18 u = 90
1 u = 90 ÷ 18 = 5
Number of notebooks that Raeann had in the end
= 60 - 7 u
= 60 - 7 x 5
= 60 - 35
= 25
(b)
1 p = 25
Number of notebooks that Gabriel had in the end
= 3 p
= 3 x 25
= 75
Answer(s): (a) 25; (b) 75
