Reggie had some pastries.
25 of them were puffs. The rest were cupcakes. He sold
25 of the puffs and 6 cupcakes. In the end, he had 57 pastries left. How many pastries did he sell?
|
Puffs |
Cupcakes |
Comparing pastries at first |
2x5 = 10 u |
3x5 = 15 u |
Before
|
5x2 = 10 u |
15 u |
Change
|
- 2x2 = - 4 u |
- 6 |
After
|
3x2 = 6 u |
15 u - 6 |
The number of puffs at first is repeated. Make the number of puffs at first the same. LCM of 2 and 5 is 10.
Total number of pastries left
= 6 u + 15 u - 6
= 21 u - 6
21 u - 6 = 57
21 u = 57 + 6
21 u = 63
1 u = 63 ÷ 21 = 3
Number of pastries that Reggie sold
= 4 u + 6
= 4 x 3 + 6
= 12 + 6
= 18
Answer(s): 18