Auntie Kylie baked 42 more chocolate chip muffins than banana muffins. After she gave
27 of the chocolate chip muffins and 0.8 of the banana muffins to Diana, she was left with 174 fewer banana muffins than chocolate chip muffins. How many muffins did she bake?
|
Chocolate Chip muffins |
Banana muffins |
Comparing chocolate chip muffins and banana muffins at first |
42 more |
|
Before
|
7x5 = 35 u |
+ 42 |
5x7 = 35 u |
Change
|
- 2x5 = - 10 u |
- 12 |
- 4x7 = - 28 u |
After
|
5x5 = 25 u |
+ 30 |
1x7 = 7 u |
Comparing chocolate chip muffins and banana muffins in the end |
174 more
|
|
27 x 42 = 12
42 - 12 = 30
0.8 =
810 =
45If Auntie Kylie baked another 174 banana muffins, there would be equal number of chocolate chip muffins and banana muffins in the end.
25 u + 30 = 7 u + 174
25 u - 7 u = 174 - 30
18 u = 144
1 u = 144 ÷ 18 = 8
Total muffins that Auntie Kylie baked
= 35 u + 42 + 35 u
= 70 u + 42
= 70 x 8 + 42
= 560 + 42
= 602
Answer(s): 602