Auntie Betty baked 18 less cherry muffins than cheese muffins. After she gave 0.6 of the cherry muffins to Kathy and
13 of the cheese muffins, she was left with 40 more cheese muffins than cherry muffins. How many muffins did she bake?
|
Cherry muffins |
Cheese muffins |
Comparing cherry muffins and cheese muffins at first |
|
18 more |
Before
|
5x3 = 15 |
3x5 = 15 u |
+ 18 |
Change
|
- 3x3 = - 9 u |
- 1x5 = - 5 u |
- 6 |
After
|
2x3 = 6 u |
2x5 = 10 u |
+ 12 |
Comparing cherry muffins and cheese muffins in the end |
|
40 more
|
0.6 =
610 =
3513 x 18 = 6
18 - 6 = 12
If Auntie Betty baked another 40 cherry muffins, there would be equal number of cheese muffins and cherry muffins in the end.
10 u + 12 = 6 u + 40
10 u - 6 u = 40 - 12
4 u = 28
1 u = 28 ÷ 4 = 7
Total muffins that Auntie Betty baked
= 15 u + 18 + 15 u
= 30 u + 18
= 30 x 7 + 18
= 210 + 18
= 228
Answer(s): 228