Gem has 2 times as many cookies as Nora. The total number of Gem's and Nora's cookies is 6 times of Hazel's. Gem and Nora have 60 cookies more than Hazel's. How many more cookies does Gem have than Nora?
| Gem |
Nora |
Hazel |
| 2x2 |
1x2 |
|
| 6x1 |
1x1 |
| 4 u |
2 u |
1 u |
The total number of cookies that Gem and Nora have is repeated. Make the total number of cookies that Gem and Nora have the same. LCM of 3 and 6 is 6.
Total number of cookies that Gem and Nora have
= 4 u + 2 u
= 6 u
Number of more cookies that Gem and Nora have than Hazel
= 6 u - 1 u
= 5 u
5 u = 60
1 u = 60 ÷ 5 = 12
Number of more cookies that Gem has than Nora
= 4 u - 2 u
= 2 u
= 2 x 12
= 24
Answer(s): 24
