Lucas bought 33 pens and Luke bought 54 pens. After Luke used
27 times as many pens as Lucas, he was left with four times as many pens as Lucas. How many pens did each of them have in the end?
- Lucas
- Luke
| |
Make p the same.
(1)x4 = (3) |
Lucas
(1) |
Luke
(2) |
| Before |
132 |
33 |
54 |
| Change |
- 28 u |
- 7 u |
- 2 u |
| After |
4 p |
1 p |
4 p |
(a)
33 - 7 u = 1 p --- (1)
54 - 2 u =
4 p --- (2)
(1)
x4
132 - 28 u =
4 p --- (3)
(3) = (2)
54 - 2 u = 132 - 28 u
28 u - 2 u = 132 - 54
26 u = 78
1 u = 78 ÷ 26 = 3
Number of pens that Lucas had in the end
= 33 - 7 u
= 33 - 7 x 3
= 33 - 21
= 12
(b)
1 p = 12
Number of pens that Luke had in the end
= 4 p
= 4 x 12
= 48
Answer(s): (a) 12; (b) 48
