Auntie Zoe baked 51 less cheese muffins than apricot muffins. After she gave 0.8 of the cheese muffins to Nora and
23 of the apricot muffins, she was left with 23 more apricot muffins than cheese muffins. How many muffins did she bake?
| |
Cheese muffins |
Apricot muffins |
Comparing cheese muffins
and apricot muffins
at first |
|
51 more |
Before
|
5x3 =
15 |
3x5 =
15 u |
+ 51 |
Change
|
- 4x3 =
- 12 u |
- 2x5 =
- 10 u |
- 34 |
After
|
1x3 =
3 u |
1x5 =
5 u |
+ 17 |
Comparing cheese muffins
and apricot muffins
in the end |
|
23 more
|
0.8 =
810 =
4523 x 51 = 34
51 - 34 = 17
If Auntie Zoe baked another 23 cheese muffins, there would be equal number of apricot muffins and cheese muffins in the end.
5 u + 17 = 3 u + 23
5 u - 3 u = 23 - 17
2 u = 6
1 u = 6 ÷ 2 = 3
Total muffins that Auntie Zoe baked
= 15 u + 51 + 15 u
= 30 u + 51
= 30 x 3 + 51
= 90 + 51
= 141
Answer(s): 141
