PSLEXandra made some muffins to sell.
34 of them were mushroom muffins and the rest were chicken muffins. After selling 260 chicken muffins and
56 of the mushroom muffins, she had
16 of the muffins left. How many muffins did Xandra sell?
|
Mushroom muffins |
Chicken muffins |
Total |
Comparing mushroom muffins and chicken muffins at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 260 |
|
After |
1x1
|
|
|
|
Mushroom muffins |
Chicken muffins |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 260 |
|
After
|
1 u
|
2 u - 260
|
16 x 8 u = 113 u |
The number of mushroom muffins at first is repeated. Make the number of mushroom muffins at first the same. LCM of 3 and 6 is 6.
Number of muffins left
= 1 u + 2 u - 260
= 3 u - 260
3 u - 260 = 1
13 u
3 u - 1
13 u = 260
1
23 u = 260
1 u = 260 ÷ 1
23 = 156
Total number of muffins that Xandra sold
= 5 u + 260
= 5 x 156 + 260
= 780 + 260
= 1040
Answer(s): 1040