David had some pastries.
27 of them were macarons. The rest were tarts. He sold
25 of the macarons and 3 tarts. In the end, he had 183 pastries left. How many pastries did he sell?
| |
Macarons |
Tarts |
Comparing pastries
at first |
2x5 =
10 u |
5x5 =
25 u |
Before
|
5x2 =
10 u |
25 u |
Change
|
- 2x2 =
- 4 u |
- 3 |
After
|
3x2 =
6 u |
25 u - 3 |
The number of macarons at first is repeated. Make the number of macarons at first the same. LCM of 2 and 5 is 10.
Total number of pastries left
= 6 u + 25 u - 3
= 31 u - 3
31 u - 3 = 183
31 u = 183 + 3
31 u = 186
1 u = 186 ÷ 31 = 6
Number of pastries that David sold
= 4 u + 3
= 4 x 6 + 3
= 24 + 3
= 27
Answer(s): 27
