Auntie Julie baked 80 less cranberry muffins than apricot muffins. After she gave 0.8 of the cranberry muffins to Irene and
12 of the apricot muffins, she was left with 67 more apricot muffins than cranberry muffins. How many muffins did she bake?
| |
Cranberry muffins |
Apricot muffins |
Comparing cranberry muffins
and apricot muffins
at first |
|
80 more |
Before
|
5x2 =
10 |
2x5 =
10 u |
+ 80 |
Change
|
- 4x2 =
- 8 u |
- 1x5 =
- 5 u |
- 40 |
After
|
1x2 =
2 u |
1x5 =
5 u |
+ 40 |
Comparing cranberry muffins
and apricot muffins
in the end |
|
67 more
|
0.8 =
810 =
4512 x 80 = 40
80 - 40 = 40
If Auntie Julie baked another 67 cranberry muffins, there would be equal number of apricot muffins and cranberry muffins in the end.
5 u + 40 = 2 u + 67
5 u - 2 u = 67 - 40
3 u = 27
1 u = 27 ÷ 3 = 9
Total muffins that Auntie Julie baked
= 10 u + 80 + 10 u
= 20 u + 80
= 20 x 9 + 80
= 180 + 80
= 260
Answer(s): 260
