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