Ava bought 46 pencils and Nick bought 70 pencils. After Nick used
37 times as many pencils as Ava, he was left with five times as many pencils as Ava. How many pencils did each of them have in the end?
- Ava
- Nick
| |
Make p the same.
(1)x5 = (3) |
Ava
(1) |
Nick
(2) |
| Before |
230 |
46 |
70 |
| Change |
- 35 u |
- 7 u |
- 3 u |
| After |
5 p |
1 p |
5 p |
(a)
46 - 7 u = 1 p --- (1)
70 - 3 u =
5 p --- (2)
(1)
x5
230 - 35 u =
5 p --- (3)
(3) = (2)
70 - 3 u = 230 - 35 u
35 u - 3 u = 230 - 70
32 u = 160
1 u = 160 ÷ 32 = 5
Number of pencils that Ava had in the end
= 46 - 7 u
= 46 - 7 x 5
= 46 - 35
= 11
(b)
1 p = 11
Number of pencils that Nick had in the end
= 5 p
= 5 x 11
= 55
Answer(s): (a) 11; (b) 55
