Auntie Mary baked 98 more blueberry muffins than cherry muffins. After she gave
12 of the blueberry muffins and 0.8 of the cherry muffins to Kylie, she was left with 61 fewer cherry muffins than blueberry muffins. How many muffins did she bake?
| |
Blueberry muffins |
Cherry muffins |
Comparing blueberry muffins
and cherry muffins
at first |
98 more |
|
Before
|
2x5 =
10 u |
+ 98 |
5x2 =
10 u |
Change
|
- 1x5 =
- 5 u |
- 49 |
- 4x2 =
- 8 u |
After
|
1x5 =
5 u |
+ 49 |
1x2 =
2 u |
Comparing blueberry muffins
and cherry muffins
in the end |
61 more
|
|
12 x 98 = 49
98 - 49 = 49
0.8 =
810 =
45If Auntie Mary baked another 61 cherry muffins, there would be equal number of blueberry muffins and cherry muffins in the end.
5 u + 49 = 2 u + 61
5 u - 2 u = 61 - 49
3 u = 12
1 u = 12 ÷ 3 = 4
Total muffins that Auntie Mary baked
= 10 u + 98 + 10 u
= 20 u + 98
= 20 x 4 + 98
= 80 + 98
= 178
Answer(s): 178
