PSLEKathy made some muffins to sell.
34 of them were sardine muffins and the rest were mushroom muffins. After selling 215 mushroom muffins and
56 of the sardine muffins, she had
16 of the muffins left. How many muffins did Kathy sell?
|
Sardine muffins |
Mushroom muffins |
Total |
Comparing sardine muffins and mushroom muffins at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 215 |
|
After |
1x1
|
|
|
|
Sardine muffins |
Mushroom muffins |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 215 |
|
After
|
1 u
|
2 u - 215
|
16 x 8 u = 113 u |
The number of sardine muffins at first is repeated. Make the number of sardine muffins at first the same. LCM of 3 and 6 is 6.
Number of muffins left
= 1 u + 2 u - 215
= 3 u - 215
3 u - 215 = 1
13 u
3 u - 1
13 u = 215
1
23 u = 215
1 u = 215 ÷ 1
23 = 129
Total number of muffins that Kathy sold
= 5 u + 215
= 5 x 129 + 215
= 645 + 215
= 860
Answer(s): 860