Chloe bought 59 pencils and Xavier bought 97 pencils. After Xavier used
27 times as many pencils as Chloe, he was left with five times as many pencils as Chloe. How many pencils did each of them have in the end?
- Chloe
- Xavier
| |
Make p the same.
(1)x5 = (3) |
Chloe
(1) |
Xavier
(2) |
| Before |
295 |
59 |
97 |
| Change |
- 35 u |
- 7 u |
- 2 u |
| After |
5 p |
1 p |
5 p |
(a)
59 - 7 u = 1 p --- (1)
97 - 2 u =
5 p --- (2)
(1)
x5
295 - 35 u =
5 p --- (3)
(3) = (2)
97 - 2 u = 295 - 35 u
35 u - 2 u = 295 - 97
33 u = 198
1 u = 198 ÷ 33 = 6
Number of pencils that Chloe had in the end
= 59 - 7 u
= 59 - 7 x 6
= 59 - 42
= 17
(b)
1 p = 17
Number of pencils that Xavier had in the end
= 5 p
= 5 x 17
= 85
Answer(s): (a) 17; (b) 85
