Zara has 5 times as many biscuits as Kimberly. The total number of Zara's and Kimberly's biscuits is 3 times of Cathy's. Zara and Kimberly have 48 biscuits more than Cathy's. How many less biscuits does Cathy have than Zara?
| Zara |
Kimberly |
Cathy |
| 5x1 |
1x1 |
|
| 3x2 |
1x2 |
| 5 u |
1 u |
2 u |
The total number of biscuits that Zara and Kimberly have is repeated. Make the total number of biscuits that Zara and Kimberly have the same. LCM of 6 and 3 is 6.
Total number of biscuits that Zara and Kimberly have
= 5 u + 1 u
= 6 u
Number of more biscuits that Zara and Kimberly have than Cathy
= 6 u - 2 u
= 4 u
4 u = 48
1 u = 48 ÷ 4 = 12
Number of less biscuits that Cathy has than Zara
= 5 u - 2 u
= 3 u
= 3 x 12
= 36
Answer(s): 36
