Ethan had some pastries.
27 of them were muffins. The rest were macarons. He sold
25 of the muffins and 15 macarons. In the end, he had 78 pastries left. How many pastries did he sell?
| |
Muffins |
Macarons |
Comparing pastries
at first |
2x5 =
10 u |
5x5 =
25 u |
Before
|
5x2 =
10 u |
25 u |
Change
|
- 2x2 =
- 4 u |
- 15 |
After
|
3x2 =
6 u |
25 u - 15 |
The number of muffins at first is repeated. Make the number of muffins at first the same. LCM of 2 and 5 is 10.
Total number of pastries left
= 6 u + 25 u - 15
= 31 u - 15
31 u - 15 = 78
31 u = 78 + 15
31 u = 93
1 u = 93 ÷ 31 = 3
Number of pastries that Ethan sold
= 4 u + 15
= 4 x 3 + 15
= 12 + 15
= 27
Answer(s): 27
