Auntie Xylia baked 68 more cheese muffins than apple muffins. After she gave
12 of the cheese muffins and 0.8 of the apple muffins to Elyse, she was left with 43 fewer apple muffins than cheese muffins. How many muffins did she bake?
|
Cheese muffins |
Apple muffins |
Comparing cheese muffins and apple muffins at first |
68 more |
|
Before
|
2x5 = 10 u |
+ 68 |
5x2 = 10 u |
Change
|
- 1x5 = - 5 u |
- 34 |
- 4x2 = - 8 u |
After
|
1x5 = 5 u |
+ 34 |
1x2 = 2 u |
Comparing cheese muffins and apple muffins in the end |
43 more
|
|
12 x 68 = 34
68 - 34 = 34
0.8 =
810 =
45If Auntie Xylia baked another 43 apple muffins, there would be equal number of cheese muffins and apple muffins in the end.
5 u + 34 = 2 u + 43
5 u - 2 u = 43 - 34
3 u = 9
1 u = 9 ÷ 3 = 3
Total muffins that Auntie Xylia baked
= 10 u + 68 + 10 u
= 20 u + 68
= 20 x 3 + 68
= 60 + 68
= 128
Answer(s): 128