PSLEZoe made some muffins to sell.
34 of them were beef muffins and the rest were egg muffins. After selling 378 egg muffins and
56 of the beef muffins, she had
15 of the muffins left. How many muffins did Zoe sell?
|
Beef muffins |
Egg muffins |
Total |
Comparing beef muffins and egg muffins at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 378 |
|
After |
1x1
|
|
|
|
Beef muffins |
Egg muffins |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 378 |
|
After
|
1 u
|
2 u - 378
|
15 x 8 u = 135 u |
The number of beef muffins at first is repeated. Make the number of beef muffins at first the same. LCM of 3 and 6 is 6.
Number of muffins left
= 1 u + 2 u - 378
= 3 u - 378
3 u - 378 = 1
35 u
3 u - 1
35 u = 378
1
25 u = 378
1 u = 378 ÷ 1
25 = 270
Total number of muffins that Zoe sold
= 5 u + 378
= 5 x 270 + 378
= 1350 + 378
= 1728
Answer(s): 1728