Aunt Marion made 55 less muffins than biscuits. After she gave 0.9 of the muffins and
35 of the biscuits to Abi, she was left with 76 less muffins than biscuits. How many biscuits did she make?
|
Muffins |
Biscuits |
Comparing muffins and biscuits at first |
|
55 more |
Before |
10 u |
5x2 + 55 = 10 u + 55 |
Change |
- 9 u |
- 3x2 - 33 = - 6 u - 33
|
After |
1 u |
2x2 + 22 = 4 u + 22 |
Comparing muffins and biscuits in the end |
|
76 more |
0.9 =
910 35 x 55 = 33
Number of biscuits that Aunt Marion gave to Abi = 6 u + 33
If Aunt Marion made another 76 muffins in the end, the number of muffins and biscuits in the end would be the same.
4 u + 22 = 1 u + 76
4 u - 1 u = 76 - 22
3 u = 54
1 u = 54 ÷ 3 = 18
Number of biscuits that Aunt Marion made
= 10 u + 55
= 10 x 18 + 55
= 180 + 55
= 235
Answer(s): 235