Elijah had some pastries.
38 of them were macarons. The rest were tarts. He sold
34 of the macarons and 10 tarts. In the end, he had 128 pastries left. How many pastries did he sell?
|
Macarons |
Tarts |
Comparing pastries at first |
3x4 = 12 u |
5x4 = 20 u |
Before
|
4x3 = 12 u |
20 u |
Change
|
- 3x3 = - 9 u |
- 10 |
After
|
1x3 = 3 u |
20 u - 10 |
The number of macarons at first is repeated. Make the number of macarons at first the same. LCM of 3 and 4 is 12.
Total number of pastries left
= 3 u + 20 u - 10
= 23 u - 10
23 u - 10 = 128
23 u = 128 + 10
23 u = 138
1 u = 138 ÷ 23 = 6
Number of pastries that Elijah sold
= 9 u + 10
= 9 x 6 + 10
= 54 + 10
= 64
Answer(s): 64