Fred had 344 more erasers than Bryan at first. Then Fred bought 50 more erasers. In the end, Fred has 3 times as many erasers as Bryan.
- How many erasers did Bryan have?
- Find the total number of erasers Fred and Bryan had in the end?
| |
Fred |
Bryan |
Total |
| Before |
1 u + 344 |
1 u |
|
| Change |
+ 50 |
|
|
| After |
1 u + 344 + 50 |
1 u |
4 u |
(a)
Before
Number of erasers that Fred had = 1 u + 344
Number of erasers that Bryan had = 1 u
After
Number of erasers that Fred had = 1 u + 344 + 50 = 3 u
Number of erasers that Bryan had = 1 u
1 u + 344 + 50 = 3u
1 u + 394 = 3 u
3 u - 1 u = 394
2 u = 394
1 u = 394 ÷ 2 = 197
(a)
Number of erasers that Bryan had
= 1 u
= 197
(b)
Number of erasers that Fred and Bryan had in the end
= 3 u + 1 u
= 4 u
= 4 x 197
= 788
Answer(s): (a) 197; (b) 788
