Auntie Esther baked 63 more cheese muffins than cherry muffins. After she gave
13 of the cheese muffins and 0.6 of the cherry muffins to Xandra, she was left with 78 fewer cherry muffins than cheese muffins. How many muffins did she bake?
| |
Cheese muffins |
Cherry muffins |
Comparing cheese muffins
and cherry muffins
at first |
63 more |
|
Before
|
3x5 =
15 u |
+ 63 |
5x3 =
15 u |
Change
|
- 1x5 =
- 5 u |
- 21 |
- 3x3 =
- 9 u |
After
|
2x5 =
10 u |
+ 42 |
2x3 =
6 u |
Comparing cheese muffins
and cherry muffins
in the end |
78 more
|
|
13 x 63 = 21
63 - 21 = 42
0.6 =
610 =
35If Auntie Esther baked another 78 cherry muffins, there would be equal number of cheese muffins and cherry muffins in the end.
10 u + 42 = 6 u + 78
10 u - 6 u = 78 - 42
4 u = 36
1 u = 36 ÷ 4 = 9
Total muffins that Auntie Esther baked
= 15 u + 63 + 15 u
= 30 u + 63
= 30 x 9 + 63
= 270 + 63
= 333
Answer(s): 333
