Jeremy had some pastries.
38 of them were shortbreads. The rest were cookies. He sold
35 of the shortbreads and 17 cookies. In the end, he had 169 pastries left. How many more shortbreads than cookies did he sell?
| |
Shortbreads |
Cookies |
Comparing pastries
at first |
3x5 =
15 u |
5x5 =
25 u |
Before
|
5x3 =
15 u |
25 u |
Change
|
- 3x3 =
- 9 u |
- 17 |
After
|
2x3 =
6 u |
25 u - 17 |
The number of shortbreads at first is repeated. Make the number of shortbreads at first the same. LCM of 3 and 5 is 15.
Total number of pastries left
= 6 u + 25 u - 17
= 31 u - 17
31 u - 17 = 169
31 u = 169 + 17
31 u = 186
1 u = 186 ÷ 31 = 6
Number of more shortbreads than cookies that Jeremy sold
= 9 u - 17
= 9 x 6 - 17
= 54 - 17
= 37
Answer(s): 37
