Auntie Ivory baked 12 less vanilla muffins than apricot muffins. After she gave 0.8 of the vanilla muffins to Emily and
16 of the apricot muffins, she was left with 162 more apricot muffins than vanilla muffins. How many muffins did she bake?
| |
Vanilla muffins |
Apricot muffins |
Comparing vanilla muffins
and apricot muffins
at first |
|
12 more |
Before
|
5x6 =
30 |
6x5 =
30 u |
+ 12 |
Change
|
- 4x6 =
- 24 u |
- 1x5 =
- 5 u |
- 2 |
After
|
1x6 =
6 u |
5x5 =
25 u |
+ 10 |
Comparing vanilla muffins
and apricot muffins
in the end |
|
162 more
|
0.8 =
810 =
4516 x 12 = 2
12 - 2 = 10
If Auntie Ivory baked another 162 vanilla muffins, there would be equal number of apricot muffins and vanilla muffins in the end.
25 u + 10 = 6 u + 162
25 u - 6 u = 162 - 10
19 u = 152
1 u = 152 ÷ 19 = 8
Total muffins that Auntie Ivory baked
= 30 u + 12 + 30 u
= 60 u + 12
= 60 x 8 + 12
= 480 + 12
= 492
Answer(s): 492
