Seth had some pastries.
27 of them were macarons. The rest were puffs. He sold
35 of the macarons and 12 puffs. In the end, he had 162 pastries left. How many pastries did he sell?
|
Macarons |
Puffs |
Comparing pastries at first |
2x5 = 10 u |
5x5 = 25 u |
Before
|
5x2 = 10 u |
25 u |
Change
|
- 3x2 = - 6 u |
- 12 |
After
|
2x2 = 4 u |
25 u - 12 |
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
= 4 u + 25 u - 12
= 29 u - 12
29 u - 12 = 162
29 u = 162 + 12
29 u = 174
1 u = 174 ÷ 29 = 6
Number of pastries that Seth sold
= 6 u + 12
= 6 x 6 + 12
= 36 + 12
= 48
Answer(s): 48