Warren and Caden had 81 shortbreads altogether. After Warren ate
14 of his shortbreads and Caden ate 5 shortbreads, the number of shortbreads Caden had left was five times the number of shortbreads Warren had left. How many more shortbreads did Caden have than Warren at first?
|
Warren |
Caden |
Total |
Before |
4 u |
15 u + 5 |
81 |
Change |
- 1 u |
- 5 |
|
After |
3 u |
|
|
Comparing Warren and Caden in the end |
1x3 = 3 u |
5x3 = 15 u |
|
The number of shortbreads that Warren had in the end is the same. Make the number of shortbreads that Warren had in the end the same. LCM of 3 and 1 is 3.
Total number of shortbreads at first
= 4 u + 15 u + 5
= 19 u + 5
19 u + 5 = 81
19 u = 81 - 5
19 u = 76
1 u = 76 ÷ 19 = 4
Number of shortbreads that Warren had at first
= 4 u
= 4 x 4
= 16
Number of shortbreads that Caden had at first
= 81 - 16
= 65
Number of shortbreads that Caden had more than Warren at first
= 65 - 16
= 49
Answer(s): 49