PSLETiffany made some muffins to sell.
34 of them were chocolate muffins and the rest were beef muffins. After selling 385 beef muffins and
56 of the chocolate muffins, she had
16 of the muffins left. How many muffins did Tiffany sell?
|
Chocolate muffins |
Beef muffins |
Total |
Comparing chocolate muffins and beef muffins at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 385 |
|
After |
1x1
|
|
|
|
Chocolate muffins |
Beef muffins |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 385 |
|
After
|
1 u
|
2 u - 385
|
16 x 8 u = 113 u |
The number of chocolate muffins at first is repeated. Make the number of chocolate muffins at first the same. LCM of 3 and 6 is 6.
Number of muffins left
= 1 u + 2 u - 385
= 3 u - 385
3 u - 385 = 1
13 u
3 u - 1
13 u = 385
1
23 u = 385
1 u = 385 ÷ 1
23 = 231
Total number of muffins that Tiffany sold
= 5 u + 385
= 5 x 231 + 385
= 1155 + 385
= 1540
Answer(s): 1540