Claire bought 42 markers and Billy bought 100 markers. After Billy used
35 times as many markers as Claire, he was left with five times as many markers as Claire. How many markers did each of them have in the end?
- Claire
- Billy
| |
Make p the same.
(1)x5 = (3) |
Claire
(1) |
Billy
(2) |
| Before |
210 |
42 |
100 |
| Change |
- 25 u |
- 5 u |
- 3 u |
| After |
5 p |
1 p |
5 p |
(a)
42 - 5 u = 1 p --- (1)
100 - 3 u =
5 p --- (2)
(1)
x5
210 - 25 u =
5 p --- (3)
(3) = (2)
100 - 3 u = 210 - 25 u
25 u - 3 u = 210 - 100
22 u = 110
1 u = 110 ÷ 22 = 5
Number of markers that Claire had in the end
= 42 - 5 u
= 42 - 5 x 5
= 42 - 25
= 17
(b)
1 p = 17
Number of markers that Billy had in the end
= 5 p
= 5 x 17
= 85
Answer(s): (a) 17; (b) 85
