Auntie Natalie baked 72 less vanilla muffins than cranberry muffins. After she gave 0.6 of the vanilla muffins to Jean and
13 of the cranberry muffins, she was left with 72 more cranberry muffins than vanilla muffins. How many muffins did she bake?
| |
Vanilla muffins |
Cranberry muffins |
Comparing vanilla muffins
and cranberry muffins
at first |
|
72 more |
Before
|
5x3 =
15 |
3x5 =
15 u |
+ 72 |
Change
|
- 3x3 =
- 9 u |
- 1x5 =
- 5 u |
- 24 |
After
|
2x3 =
6 u |
2x5 =
10 u |
+ 48 |
Comparing vanilla muffins
and cranberry muffins
in the end |
|
72 more
|
0.6 =
610 =
3513 x 72 = 24
72 - 24 = 48
If Auntie Natalie baked another 72 vanilla muffins, there would be equal number of cranberry muffins and vanilla muffins in the end.
10 u + 48 = 6 u + 72
10 u - 6 u = 72 - 48
4 u = 24
1 u = 24 ÷ 4 = 6
Total muffins that Auntie Natalie baked
= 15 u + 72 + 15 u
= 30 u + 72
= 30 x 6 + 72
= 180 + 72
= 252
Answer(s): 252
