Mary has 5 times as many cookies as Cindy. The total number of Mary's and Cindy's cookies is 3 times of Ivory's. Mary and Cindy have 36 cookies more than Ivory's. How many less cookies does Ivory have than Mary?
| Mary |
Cindy |
Ivory |
| 5x1 |
1x1 |
|
| 3x2 |
1x2 |
| 5 u |
1 u |
2 u |
The total number of cookies that Mary and Cindy have is repeated. Make the total number of cookies that Mary and Cindy have the same. LCM of 6 and 3 is 6.
Total number of cookies that Mary and Cindy have
= 5 u + 1 u
= 6 u
Number of more cookies that Mary and Cindy have than Ivory
= 6 u - 2 u
= 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
Number of less cookies that Ivory has than Mary
= 5 u - 2 u
= 3 u
= 3 x 9
= 27
Answer(s): 27
