Ryan had 204 more erasers than Zane at first. Then Ryan bought 60 more erasers. In the end, Ryan has 3 times as many erasers as Zane.
- How many erasers did Zane have?
- Find the total number of erasers Ryan and Zane had in the end?
| |
Ryan |
Zane |
Total |
| Before |
1 u + 204 |
1 u |
|
| Change |
+ 60 |
|
|
| After |
1 u + 204 + 60 |
1 u |
4 u |
(a)
Before
Number of erasers that Ryan had = 1 u + 204
Number of erasers that Zane had = 1 u
After
Number of erasers that Ryan had = 1 u + 204 + 60 = 3 u
Number of erasers that Zane had = 1 u
1 u + 204 + 60 = 3u
1 u + 264 = 3 u
3 u - 1 u = 264
2 u = 264
1 u = 264 ÷ 2 = 132
(a)
Number of erasers that Zane had
= 1 u
= 132
(b)
Number of erasers that Ryan and Zane had in the end
= 3 u + 1 u
= 4 u
= 4 x 132
= 528
Answer(s): (a) 132; (b) 528
