Zara has 6 times as many shortbreads as Eva. The total number of Zara's and Eva's shortbreads is 5 times of Anna's. Zara and Eva have 84 shortbreads more than Anna's. How many less shortbreads does Anna have than Zara?
| Zara |
Eva |
Anna |
| 6x5 |
1x5 |
|
| 5x7 |
1x7 |
| 30 u |
5 u |
7 u |
The total number of shortbreads that Zara and Eva have is repeated. Make the total number of shortbreads that Zara and Eva have the same. LCM of 7 and 5 is 35.
Total number of shortbreads that Zara and Eva have
= 30 u + 5 u
= 35 u
Number of more shortbreads that Zara and Eva have than Anna
= 35 u - 7 u
= 28 u
28 u = 84
1 u = 84 ÷ 28 = 3
Number of less shortbreads that Anna has than Zara
= 30 u - 7 u
= 23 u
= 23 x 3
= 69
Answer(s): 69
