Auntie Hazel baked 21 more banana muffins than cherry muffins. After she gave
17 of the banana muffins and 0.2 of the cherry muffins to Irene, she was left with 22 fewer cherry muffins than banana muffins. How many muffins did she bake?
|
Banana muffins |
Cherry muffins |
Comparing banana muffins and cherry muffins at first |
21 more |
|
Before
|
7x5 = 35 u |
+ 21 |
5x7 = 35 u |
Change
|
- 1x5 = - 5 u |
- 3 |
- 1x7 = - 7 u |
After
|
6x5 = 30 u |
+ 18 |
4x7 = 28 u |
Comparing banana muffins and cherry muffins in the end |
22 more
|
|
17 x 21 = 3
21 - 3 = 18
0.2 =
210 =
15If Auntie Hazel baked another 22 cherry muffins, there would be equal number of banana muffins and cherry muffins in the end.
30 u + 18 = 28 u + 22
30 u - 28 u = 22 - 18
2 u = 4
1 u = 4 ÷ 2 = 2
Total muffins that Auntie Hazel baked
= 35 u + 21 + 35 u
= 70 u + 21
= 70 x 2 + 21
= 140 + 21
= 161
Answer(s): 161