Auntie Cathy baked 70 less chocolate chip muffins than cranberry muffins. After she gave 0.2 of the chocolate chip muffins to Raeann and
17 of the cranberry muffins, she was left with 68 more cranberry muffins than chocolate chip muffins. How many muffins did she bake?
| |
Chocolate Chip muffins |
Cranberry muffins |
Comparing chocolate chip muffins
and cranberry muffins
at first |
|
70 more |
Before
|
5x7 =
35 |
7x5 =
35 u |
+ 70 |
Change
|
- 1x7 =
- 7 u |
- 1x5 =
- 5 u |
- 10 |
After
|
4x7 =
28 u |
6x5 =
30 u |
+ 60 |
Comparing chocolate chip muffins
and cranberry muffins
in the end |
|
68 more
|
0.2 =
210 =
1517 x 70 = 10
70 - 10 = 60
If Auntie Cathy baked another 68 chocolate chip muffins, there would be equal number of cranberry muffins and chocolate chip muffins in the end.
30 u + 60 = 28 u + 68
30 u - 28 u = 68 - 60
2 u = 8
1 u = 8 ÷ 2 = 4
Total muffins that Auntie Cathy baked
= 35 u + 70 + 35 u
= 70 u + 70
= 70 x 4 + 70
= 280 + 70
= 350
Answer(s): 350
