Auntie Gwen baked 78 less apricot muffins than strawberry muffins. After she gave 0.8 of the apricot muffins to Cindy and
12 of the strawberry muffins, she was left with 60 more strawberry muffins than apricot muffins. How many muffins did she bake?
|
Apricot muffins |
Strawberry muffins |
Comparing apricot muffins and strawberry muffins at first |
|
78 more |
Before
|
5x2 = 10 |
2x5 = 10 u |
+ 78 |
Change
|
- 4x2 = - 8 u |
- 1x5 = - 5 u |
- 39 |
After
|
1x2 = 2 u |
1x5 = 5 u |
+ 39 |
Comparing apricot muffins and strawberry muffins in the end |
|
60 more
|
0.8 =
810 =
4512 x 78 = 39
78 - 39 = 39
If Auntie Gwen baked another 60 apricot muffins, there would be equal number of strawberry muffins and apricot muffins in the end.
5 u + 39 = 2 u + 60
5 u - 2 u = 60 - 39
3 u = 21
1 u = 21 ÷ 3 = 7
Total muffins that Auntie Gwen baked
= 10 u + 78 + 10 u
= 20 u + 78
= 20 x 7 + 78
= 140 + 78
= 218
Answer(s): 218