Cathy had 20 more candy canes than Japheth at first. After Japheth had eaten 10 of his candy canes, Cathy had 4 times as many candy canes as Japheth. How many candy canes did Cathy and Japheth have in total at first?
| |
Cathy |
Japheth |
Total |
| Before |
1 u + 10 + 20 |
1 u + 10 |
5 u + 10 |
| Change |
|
- 10 |
|
| After |
4 u |
1 u |
|
The number of candy canes that Cathy had at first remains unchanged.
4 u = 1 u + 10 + 20
4 u - 1 u = 30
3 u = 30
1 u = 30 ÷ 3 = 10
Number of candy canes that they had at first
= 5 u + 10
= 5 x 10 + 10
= 50 + 10
= 60
Answer(s): 60
