Japheth had some pastries.
27 of them were puffs. The rest were croissants. He sold
56 of the puffs and 12 croissants. In the end, he had 100 pastries left. How many pastries did he sell?
|
Puffs |
Croissants |
Comparing pastries at first |
2x3 = 6 u |
5x3 = 15 u |
Before
|
6x1 = 6 u |
15 u |
Change
|
- 5x1 = - 5 u |
- 12 |
After
|
1x1 = 1 u |
15 u - 12 |
The number of puffs at first is repeated. Make the number of puffs at first the same. LCM of 2 and 6 is 6.
Total number of pastries left
= 1 u + 15 u - 12
= 16 u - 12
16 u - 12 = 100
16 u = 100 + 12
16 u = 112
1 u = 112 ÷ 16 = 7
Number of pastries that Japheth sold
= 5 u + 12
= 5 x 7 + 12
= 35 + 12
= 47
Answer(s): 47