Auntie Kathy baked 100 less cherry muffins than banana muffins. After she gave 0.8 of the cherry muffins to Dana and
12 of the banana muffins, she was left with 65 more banana muffins than cherry muffins. How many muffins did she bake?
| |
Cherry muffins |
Banana muffins |
Comparing cherry muffins
and banana muffins
at first |
|
100 more |
Before
|
5x2 =
10 |
2x5 =
10 u |
+ 100 |
Change
|
- 4x2 =
- 8 u |
- 1x5 =
- 5 u |
- 50 |
After
|
1x2 =
2 u |
1x5 =
5 u |
+ 50 |
Comparing cherry muffins
and banana muffins
in the end |
|
65 more
|
0.8 =
810 =
4512 x 100 = 50
100 - 50 = 50
If Auntie Kathy baked another 65 cherry muffins, there would be equal number of banana muffins and cherry muffins in the end.
5 u + 50 = 2 u + 65
5 u - 2 u = 65 - 50
3 u = 15
1 u = 15 ÷ 3 = 5
Total muffins that Auntie Kathy baked
= 10 u + 100 + 10 u
= 20 u + 100
= 20 x 5 + 100
= 100 + 100
= 200
Answer(s): 200
