Roshel has 5 times as many shortbreads as Hazel. The total number of Roshel's and Hazel's shortbreads is 7 times of Risa's. Roshel and Hazel have 180 shortbreads more than Risa's. How many less shortbreads does Risa have than Roshel?
| Roshel |
Hazel |
Risa |
| 5x7 |
1x7 |
|
| 7x6 |
1x6 |
| 35 u |
7 u |
6 u |
The total number of shortbreads that Roshel and Hazel have is repeated. Make the total number of shortbreads that Roshel and Hazel have the same. LCM of 6 and 7 is 42.
Total number of shortbreads that Roshel and Hazel have
= 35 u + 7 u
= 42 u
Number of more shortbreads that Roshel and Hazel have than Risa
= 42 u - 6 u
= 36 u
36 u = 180
1 u = 180 ÷ 36 = 5
Number of less shortbreads that Risa has than Roshel
= 35 u - 6 u
= 29 u
= 29 x 5
= 145
Answer(s): 145
