PSLEDiana made some muffins to sell.
34 of them were kaya muffins and the rest were mushroom muffins. After selling 370 mushroom muffins and
56 of the kaya muffins, she had
16 of the muffins left. How many muffins did Diana sell?
|
Kaya muffins |
Mushroom muffins |
Total |
Comparing kaya muffins and mushroom muffins at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 370 |
|
After |
1x1
|
|
|
|
Kaya muffins |
Mushroom muffins |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 370 |
|
After
|
1 u
|
2 u - 370
|
16 x 8 u = 113 u |
The number of kaya muffins at first is repeated. Make the number of kaya muffins at first the same. LCM of 3 and 6 is 6.
Number of muffins left
= 1 u + 2 u - 370
= 3 u - 370
3 u - 370 = 1
13 u
3 u - 1
13 u = 370
1
23 u = 370
1 u = 370 ÷ 1
23 = 222
Total number of muffins that Diana sold
= 5 u + 370
= 5 x 222 + 370
= 1110 + 370
= 1480
Answer(s): 1480