Emily bought 63 staplers and Billy bought 93 staplers. After Billy used
35 times as many staplers as Emily, he was left with thrice as many staplers as Emily. How many staplers did each of them have in the end?
- Emily
- Billy
| |
Make p the same.
(1)x3 = (3) |
Emily
(1) |
Billy
(2) |
| Before |
189 |
63 |
93 |
| Change |
- 15 u |
- 5 u |
- 3 u |
| After |
3 p |
1 p |
3 p |
(a)
63 - 5 u = 1 p --- (1)
93 - 3 u =
3 p --- (2)
(1)
x3
189 - 15 u =
3 p --- (3)
(3) = (2)
93 - 3 u = 189 - 15 u
15 u - 3 u = 189 - 93
12 u = 96
1 u = 96 ÷ 12 = 8
Number of staplers that Emily had in the end
= 63 - 5 u
= 63 - 5 x 8
= 63 - 40
= 23
(b)
1 p = 23
Number of staplers that Billy had in the end
= 3 p
= 3 x 23
= 69
Answer(s): (a) 23; (b) 69
