Auntie Opal baked 84 more cherry muffins than cheese muffins. After she gave
13 of the cherry muffins and 0.8 of the cheese muffins to Esther, she was left with 91 fewer cheese muffins than cherry muffins. How many muffins did she bake?
| |
Cherry muffins |
Cheese muffins |
Comparing cherry muffins
and cheese muffins
at first |
84 more |
|
Before
|
3x5 =
15 u |
+ 84 |
5x3 =
15 u |
Change
|
- 1x5 =
- 5 u |
- 28 |
- 4x3 =
- 12 u |
After
|
2x5 =
10 u |
+ 56 |
1x3 =
3 u |
Comparing cherry muffins
and cheese muffins
in the end |
91 more
|
|
13 x 84 = 28
84 - 28 = 56
0.8 =
810 =
45If Auntie Opal baked another 91 cheese muffins, there would be equal number of cherry muffins and cheese muffins in the end.
10 u + 56 = 3 u + 91
10 u - 3 u = 91 - 56
7 u = 35
1 u = 35 ÷ 7 = 5
Total muffins that Auntie Opal baked
= 15 u + 84 + 15 u
= 30 u + 84
= 30 x 5 + 84
= 150 + 84
= 234
Answer(s): 234
