Carl had 310 more erasers than Dylan at first. Then Carl bought 50 more erasers. In the end, Carl has 3 times as many erasers as Dylan.
- How many erasers did Dylan have?
- Find the total number of erasers Carl and Dylan had in the end?
| |
Carl |
Dylan |
Total |
| Before |
1 u + 310 |
1 u |
|
| Change |
+ 50 |
|
|
| After |
1 u + 310 + 50 |
1 u |
4 u |
(a)
Before
Number of erasers that Carl had = 1 u + 310
Number of erasers that Dylan had = 1 u
After
Number of erasers that Carl had = 1 u + 310 + 50 = 3 u
Number of erasers that Dylan had = 1 u
1 u + 310 + 50 = 3u
1 u + 360 = 3 u
3 u - 1 u = 360
2 u = 360
1 u = 360 ÷ 2 = 180
(a)
Number of erasers that Dylan had
= 1 u
= 180
(b)
Number of erasers that Carl and Dylan had in the end
= 3 u + 1 u
= 4 u
= 4 x 180
= 720
Answer(s): (a) 180; (b) 720
