Archie had some pastries.
47 of them were shortbreads. The rest were puffs. He sold
56 of the shortbreads and 2 puffs. In the end, he had 75 pastries left. How many pastries did he sell?
|
Shortbreads |
Puffs |
Comparing pastries at first |
4x3 = 12 u |
3x3 = 9 u |
Before
|
6x2 = 12 u |
9 u |
Change
|
- 5x2 = - 10 u |
- 2 |
After
|
1x2 = 2 u |
9 u - 2 |
The number of shortbreads at first is repeated. Make the number of shortbreads at first the same. LCM of 4 and 6 is 12.
Total number of pastries left
= 2 u + 9 u - 2
= 11 u - 2
11 u - 2 = 75
11 u = 75 + 2
11 u = 77
1 u = 77 ÷ 11 = 7
Number of pastries that Archie sold
= 10 u + 2
= 10 x 7 + 2
= 70 + 2
= 72
Answer(s): 72