Risa has 4 times as many scones as Wendy. The total number of Risa's and Wendy's scones is 3 times of Hazel's. Risa and Wendy have 50 scones more than Hazel's. How many less scones does Hazel have than Risa?
| Risa |
Wendy |
Hazel |
| 4x3 |
1x3 |
|
| 3x5 |
1x5 |
| 12 u |
3 u |
5 u |
The total number of scones that Risa and Wendy have is repeated. Make the total number of scones that Risa and Wendy have the same. LCM of 5 and 3 is 15.
Total number of scones that Risa and Wendy have
= 12 u + 3 u
= 15 u
Number of more scones that Risa and Wendy have than Hazel
= 15 u - 5 u
= 10 u
10 u = 50
1 u = 50 ÷ 10 = 5
Number of less scones that Hazel has than Risa
= 12 u - 5 u
= 7 u
= 7 x 5
= 35
Answer(s): 35
