Auntie Xandra baked 48 more vanilla muffins than strawberry muffins. After she gave
13 of the vanilla muffins and 0.8 of the strawberry muffins to Zara, she was left with 60 fewer strawberry muffins than vanilla muffins. How many muffins did she bake?
|
Vanilla muffins |
Strawberry muffins |
Comparing vanilla muffins and strawberry muffins at first |
48 more |
|
Before
|
3x5 = 15 u |
+ 48 |
5x3 = 15 u |
Change
|
- 1x5 = - 5 u |
- 16 |
- 4x3 = - 12 u |
After
|
2x5 = 10 u |
+ 32 |
1x3 = 3 u |
Comparing vanilla muffins and strawberry muffins in the end |
60 more
|
|
13 x 48 = 16
48 - 16 = 32
0.8 =
810 =
45If Auntie Xandra baked another 60 strawberry muffins, there would be equal number of vanilla muffins and strawberry muffins in the end.
10 u + 32 = 3 u + 60
10 u - 3 u = 60 - 32
7 u = 28
1 u = 28 ÷ 7 = 4
Total muffins that Auntie Xandra baked
= 15 u + 48 + 15 u
= 30 u + 48
= 30 x 4 + 48
= 120 + 48
= 168
Answer(s): 168