Xavier had 298 more erasers than Ben at first. Then Xavier bought 41 more erasers. In the end, Xavier has 4 times as many erasers as Ben.
- How many erasers did Ben have?
- Find the total number of erasers Xavier and Ben had in the end?
| |
Xavier |
Ben |
Total |
| Before |
1 u + 298 |
1 u |
|
| Change |
+ 41 |
|
|
| After |
1 u + 298 + 41 |
1 u |
5 u |
(a)
Before
Number of erasers that Xavier had = 1 u + 298
Number of erasers that Ben had = 1 u
After
Number of erasers that Xavier had = 1 u + 298 + 41 = 4 u
Number of erasers that Ben had = 1 u
1 u + 298 + 41 = 4u
1 u + 339 = 4 u
4 u - 1 u = 339
3 u = 339
1 u = 339 ÷ 3 = 113
(a)
Number of erasers that Ben had
= 1 u
= 113
(b)
Number of erasers that Xavier and Ben had in the end
= 4 u + 1 u
= 5 u
= 5 x 113
= 565
Answer(s): (a) 113; (b) 565
