Luke had 345 more erasers than Sean at first. Then Luke bought 54 more erasers. In the end, Luke has 4 times as many erasers as Sean.
- How many erasers did Sean have?
- Find the total number of erasers Luke and Sean had in the end?
| |
Luke |
Sean |
Total |
| Before |
1 u + 345 |
1 u |
|
| Change |
+ 54 |
|
|
| After |
1 u + 345 + 54 |
1 u |
5 u |
(a)
Before
Number of erasers that Luke had = 1 u + 345
Number of erasers that Sean had = 1 u
After
Number of erasers that Luke had = 1 u + 345 + 54 = 4 u
Number of erasers that Sean had = 1 u
1 u + 345 + 54 = 4u
1 u + 399 = 4 u
4 u - 1 u = 399
3 u = 399
1 u = 399 ÷ 3 = 133
(a)
Number of erasers that Sean had
= 1 u
= 133
(b)
Number of erasers that Luke and Sean had in the end
= 4 u + 1 u
= 5 u
= 5 x 133
= 665
Answer(s): (a) 133; (b) 665
