Liam had 327 more erasers than Ben at first. Then Liam bought 53 more erasers. In the end, Liam has 3 times as many erasers as Ben.
- How many erasers did Ben have?
- Find the total number of erasers Liam and Ben had in the end?
| |
Liam |
Ben |
Total |
| Before |
1 u + 327 |
1 u |
|
| Change |
+ 53 |
|
|
| After |
1 u + 327 + 53 |
1 u |
4 u |
(a)
Before
Number of erasers that Liam had = 1 u + 327
Number of erasers that Ben had = 1 u
After
Number of erasers that Liam had = 1 u + 327 + 53 = 3 u
Number of erasers that Ben had = 1 u
1 u + 327 + 53 = 3u
1 u + 380 = 3 u
3 u - 1 u = 380
2 u = 380
1 u = 380 ÷ 2 = 190
(a)
Number of erasers that Ben had
= 1 u
= 190
(b)
Number of erasers that Liam and Ben had in the end
= 3 u + 1 u
= 4 u
= 4 x 190
= 760
Answer(s): (a) 190; (b) 760
