Neave had 282 more pens than Dylan at first. Then Neave bought 56 more pens. In the end, Neave has 3 times as many pens as Dylan.
- How many pens did Dylan have?
- Find the total number of pens Neave and Dylan had in the end?
| |
Neave |
Dylan |
Total |
| Before |
1 u + 282 |
1 u |
|
| Change |
+ 56 |
|
|
| After |
1 u + 282 + 56 |
1 u |
4 u |
(a)
Before
Number of pens that Neave had = 1 u + 282
Number of pens that Dylan had = 1 u
After
Number of pens that Neave had = 1 u + 282 + 56 = 3 u
Number of pens that Dylan had = 1 u
1 u + 282 + 56 = 3u
1 u + 338 = 3 u
3 u - 1 u = 338
2 u = 338
1 u = 338 ÷ 2 = 169
(a)
Number of pens that Dylan had
= 1 u
= 169
(b)
Number of pens that Neave and Dylan had in the end
= 3 u + 1 u
= 4 u
= 4 x 169
= 676
Answer(s): (a) 169; (b) 676
