Min has 5 times as many shortbreads as Esther. The total number of Min's and Esther's shortbreads is 8 times of Risa's. Min and Esther have 210 shortbreads more than Risa's. How many more shortbreads does Min have than Esther?
| Min |
Esther |
Risa |
| 5x4 |
1x4 |
|
| 8x3 |
1x3 |
| 20 u |
4 u |
3 u |
The total number of shortbreads that Min and Esther have is repeated. Make the total number of shortbreads that Min and Esther have the same. LCM of 6 and 8 is 24.
Total number of shortbreads that Min and Esther have
= 20 u + 4 u
= 24 u
Number of more shortbreads that Min and Esther have than Risa
= 24 u - 3 u
= 21 u
21 u = 210
1 u = 210 ÷ 21 = 10
Number of more shortbreads that Min has than Esther
= 20 u - 4 u
= 16 u
= 16 x 10
= 160
Answer(s): 160
