Auntie Xylia baked 78 more cheese muffins than blueberry muffins. After she gave
23 of the cheese muffins and 0.8 of the blueberry muffins to Kylie, she was left with 34 fewer blueberry muffins than cheese muffins. How many muffins did she bake?
| |
Cheese muffins |
Blueberry muffins |
Comparing cheese muffins
and blueberry muffins
at first |
78 more |
|
Before
|
3x5 =
15 u |
+ 78 |
5x3 =
15 u |
Change
|
- 2x5 =
- 10 u |
- 52 |
- 4x3 =
- 12 u |
After
|
1x5 =
5 u |
+ 26 |
1x3 =
3 u |
Comparing cheese muffins
and blueberry muffins
in the end |
34 more
|
|
23 x 78 = 52
78 - 52 = 26
0.8 =
810 =
45If Auntie Xylia baked another 34 blueberry muffins, there would be equal number of cheese muffins and blueberry muffins in the end.
5 u + 26 = 3 u + 34
5 u - 3 u = 34 - 26
2 u = 8
1 u = 8 ÷ 2 = 4
Total muffins that Auntie Xylia baked
= 15 u + 78 + 15 u
= 30 u + 78
= 30 x 4 + 78
= 120 + 78
= 198
Answer(s): 198
