Auntie Emily baked 72 less apricot muffins than blueberry muffins. After she gave 0.8 of the apricot muffins to Usha and
12 of the blueberry muffins, she was left with 45 more blueberry muffins than apricot muffins. How many muffins did she bake?
|
Apricot muffins |
Blueberry muffins |
Comparing apricot muffins and blueberry muffins at first |
|
72 more |
Before
|
5x2 = 10 |
2x5 = 10 u |
+ 72 |
Change
|
- 4x2 = - 8 u |
- 1x5 = - 5 u |
- 36 |
After
|
1x2 = 2 u |
1x5 = 5 u |
+ 36 |
Comparing apricot muffins and blueberry muffins in the end |
|
45 more
|
0.8 =
810 =
4512 x 72 = 36
72 - 36 = 36
If Auntie Emily baked another 45 apricot muffins, there would be equal number of blueberry muffins and apricot muffins in the end.
5 u + 36 = 2 u + 45
5 u - 2 u = 45 - 36
3 u = 9
1 u = 9 ÷ 3 = 3
Total muffins that Auntie Emily baked
= 10 u + 72 + 10 u
= 20 u + 72
= 20 x 3 + 72
= 60 + 72
= 132
Answer(s): 132