Auntie Tina baked 99 more cranberry muffins than apricot muffins. After she gave
13 of the cranberry muffins and 0.8 of the apricot muffins to Betty, she was left with 122 fewer apricot muffins than cranberry muffins. How many muffins did she bake?
| |
Cranberry muffins |
Apricot muffins |
Comparing cranberry muffins
and apricot muffins
at first |
99 more |
|
Before
|
3x5 =
15 u |
+ 99 |
5x3 =
15 u |
Change
|
- 1x5 =
- 5 u |
- 33 |
- 4x3 =
- 12 u |
After
|
2x5 =
10 u |
+ 66 |
1x3 =
3 u |
Comparing cranberry muffins
and apricot muffins
in the end |
122 more
|
|
13 x 99 = 33
99 - 33 = 66
0.8 =
810 =
45If Auntie Tina baked another 122 apricot muffins, there would be equal number of cranberry muffins and apricot muffins in the end.
10 u + 66 = 3 u + 122
10 u - 3 u = 122 - 66
7 u = 56
1 u = 56 ÷ 7 = 8
Total muffins that Auntie Tina baked
= 15 u + 99 + 15 u
= 30 u + 99
= 30 x 8 + 99
= 240 + 99
= 339
Answer(s): 339
