Anna has 4 times as many shortbreads as Zara. The total number of Anna's and Zara's shortbreads is 3 times of Cindy's. Anna and Zara have 100 shortbreads more than Cindy's. How many less shortbreads does Cindy have than Anna?
| Anna |
Zara |
Cindy |
| 4x3 |
1x3 |
|
| 3x5 |
1x5 |
| 12 u |
3 u |
5 u |
The total number of shortbreads that Anna and Zara have is repeated. Make the total number of shortbreads that Anna and Zara have the same. LCM of 5 and 3 is 15.
Total number of shortbreads that Anna and Zara have
= 12 u + 3 u
= 15 u
Number of more shortbreads that Anna and Zara have than Cindy
= 15 u - 5 u
= 10 u
10 u = 100
1 u = 100 ÷ 10 = 10
Number of less shortbreads that Cindy has than Anna
= 12 u - 5 u
= 7 u
= 7 x 10
= 70
Answer(s): 70
