Zane had 283 more erasers than Paul at first. Then Zane bought 53 more erasers. In the end, Zane has 5 times as many erasers as Paul.
- How many erasers did Paul have?
- Find the total number of erasers Zane and Paul had in the end?
| |
Zane |
Paul |
Total |
| Before |
1 u + 283 |
1 u |
|
| Change |
+ 53 |
|
|
| After |
1 u + 283 + 53 |
1 u |
6 u |
(a)
Before
Number of erasers that Zane had = 1 u + 283
Number of erasers that Paul had = 1 u
After
Number of erasers that Zane had = 1 u + 283 + 53 = 5 u
Number of erasers that Paul had = 1 u
1 u + 283 + 53 = 5u
1 u + 336 = 5 u
5 u - 1 u = 336
4 u = 336
1 u = 336 ÷ 4 = 84
(a)
Number of erasers that Paul had
= 1 u
= 84
(b)
Number of erasers that Zane and Paul had in the end
= 5 u + 1 u
= 6 u
= 6 x 84
= 504
Answer(s): (a) 84; (b) 504
