Glen had some pastries.
47 of them were cookies. The rest were cupcakes. He sold
25 of the cookies and 11 cupcakes. In the end, he had 97 pastries left. How many more cookies than cupcakes did he sell?
|
Cookies |
Cupcakes |
Comparing pastries at first |
4x5 = 20 u |
3x5 = 15 u |
Before
|
5x4 = 20 u |
15 u |
Change
|
- 2x4 = - 8 u |
- 11 |
After
|
3x4 = 12 u |
15 u - 11 |
The number of cookies at first is repeated. Make the number of cookies at first the same. LCM of 4 and 5 is 20.
Total number of pastries left
= 12 u + 15 u - 11
= 27 u - 11
27 u - 11 = 97
27 u = 97 + 11
27 u = 108
1 u = 108 ÷ 27 = 4
Number of more cookies than cupcakes that Glen sold
= 8 u - 11
= 8 x 4 - 11
= 32 - 11
= 21
Answer(s): 21