John had some pastries.
37 of them were wafers. The rest were muffins. He sold
34 of the wafers and 11 muffins. In the end, he had 160 pastries left. How many pastries did he sell?
|
Wafers |
Muffins |
Comparing pastries at first |
3x4 = 12 u |
4x4 = 16 u |
Before
|
4x3 = 12 u |
16 u |
Change
|
- 3x3 = - 9 u |
- 11 |
After
|
1x3 = 3 u |
16 u - 11 |
The number of wafers at first is repeated. Make the number of wafers at first the same. LCM of 3 and 4 is 12.
Total number of pastries left
= 3 u + 16 u - 11
= 19 u - 11
19 u - 11 = 160
19 u = 160 + 11
19 u = 171
1 u = 171 ÷ 19 = 9
Number of pastries that John sold
= 9 u + 11
= 9 x 9 + 11
= 81 + 11
= 92
Answer(s): 92