Auntie Opal baked 70 more banana muffins than cheese muffins. After she gave
17 of the banana muffins and 0.8 of the cheese muffins to Gem, she was left with 152 fewer cheese muffins than banana muffins. How many muffins did she bake?
| |
Banana muffins |
Cheese muffins |
Comparing banana muffins
and cheese muffins
at first |
70 more |
|
Before
|
7x5 =
35 u |
+ 70 |
5x7 =
35 u |
Change
|
- 1x5 =
- 5 u |
- 10 |
- 4x7 =
- 28 u |
After
|
6x5 =
30 u |
+ 60 |
1x7 =
7 u |
Comparing banana muffins
and cheese muffins
in the end |
152 more
|
|
17 x 70 = 10
70 - 10 = 60
0.8 =
810 =
45If Auntie Opal baked another 152 cheese muffins, there would be equal number of banana muffins and cheese muffins in the end.
30 u + 60 = 7 u + 152
30 u - 7 u = 152 - 60
23 u = 92
1 u = 92 ÷ 23 = 4
Total muffins that Auntie Opal baked
= 35 u + 70 + 35 u
= 70 u + 70
= 70 x 4 + 70
= 280 + 70
= 350
Answer(s): 350
