Julie has 2 times as many shortbreads as Erika. The total number of Julie's and Erika's shortbreads is 7 times of Raeann's. Julie and Erika have 162 shortbreads more than Raeann's. How many less shortbreads does Raeann have than Julie?
| Julie |
Erika |
Raeann |
| 2x7 |
1x7 |
|
| 7x3 |
1x3 |
| 14 u |
7 u |
3 u |
The total number of shortbreads that Julie and Erika have is repeated. Make the total number of shortbreads that Julie and Erika have the same. LCM of 3 and 7 is 21.
Total number of shortbreads that Julie and Erika have
= 14 u + 7 u
= 21 u
Number of more shortbreads that Julie and Erika have than Raeann
= 21 u - 3 u
= 18 u
18 u = 162
1 u = 162 ÷ 18 = 9
Number of less shortbreads that Raeann has than Julie
= 14 u - 3 u
= 11 u
= 11 x 9
= 99
Answer(s): 99
