Auntie Vanessa baked 99 less vanilla muffins than apricot muffins. After she gave 0.6 of the vanilla muffins to Betty and
13 of the apricot muffins, she was left with 102 more apricot muffins than vanilla muffins. How many muffins did she bake?
| |
Vanilla muffins |
Apricot muffins |
Comparing vanilla muffins
and apricot muffins
at first |
|
99 more |
Before
|
5x3 =
15 |
3x5 =
15 u |
+ 99 |
Change
|
- 3x3 =
- 9 u |
- 1x5 =
- 5 u |
- 33 |
After
|
2x3 =
6 u |
2x5 =
10 u |
+ 66 |
Comparing vanilla muffins
and apricot muffins
in the end |
|
102 more
|
0.6 =
610 =
3513 x 99 = 33
99 - 33 = 66
If Auntie Vanessa baked another 102 vanilla muffins, there would be equal number of apricot muffins and vanilla muffins in the end.
10 u + 66 = 6 u + 102
10 u - 6 u = 102 - 66
4 u = 36
1 u = 36 ÷ 4 = 9
Total muffins that Auntie Vanessa baked
= 15 u + 99 + 15 u
= 30 u + 99
= 30 x 9 + 99
= 270 + 99
= 369
Answer(s): 369
