Auntie Penelope baked 84 less vanilla muffins than cranberry muffins. After she gave 0.8 of the vanilla muffins to Jaslyn and
12 of the cranberry muffins, she was left with 51 more cranberry muffins than vanilla muffins. How many muffins did she bake?
| |
Vanilla muffins |
Cranberry muffins |
Comparing vanilla muffins
and cranberry muffins
at first |
|
84 more |
Before
|
5x2 =
10 |
2x5 =
10 u |
+ 84 |
Change
|
- 4x2 =
- 8 u |
- 1x5 =
- 5 u |
- 42 |
After
|
1x2 =
2 u |
1x5 =
5 u |
+ 42 |
Comparing vanilla muffins
and cranberry muffins
in the end |
|
51 more
|
0.8 =
810 =
4512 x 84 = 42
84 - 42 = 42
If Auntie Penelope baked another 51 vanilla muffins, there would be equal number of cranberry muffins and vanilla muffins in the end.
5 u + 42 = 2 u + 51
5 u - 2 u = 51 - 42
3 u = 9
1 u = 9 ÷ 3 = 3
Total muffins that Auntie Penelope baked
= 10 u + 84 + 10 u
= 20 u + 84
= 20 x 3 + 84
= 60 + 84
= 144
Answer(s): 144
