Aunt Zoe made 55 more biscuits than scones. After she gave 0.9 of the biscuits and
25 of the scones to Lucy, she was left with 118 more biscuits than scones. How many biscuits did she make?
|
Biscuits |
Scones |
Comparing biscuits and scones at first |
|
55 more |
Before |
10 u |
5x2 + 55 = 10 u + 55 |
Change |
- 9 u |
- 2x2 - 22 = - 4 u - 22
|
After |
1 u |
3x2 + 33 = 6 u + 33 |
Comparing biscuits and scones in the end |
|
118 more |
0.9 =
910 25 x 55 = 22
Number of scones that Aunt Zoe gave to Lucy = 4 u + 22
If Aunt Zoe made another 118 biscuits in the end, the number of biscuits and scones in the end would be the same.
6 u + 33 = 1 u + 118
6 u - 1 u = 118 - 33
5 u = 85
1 u = 85 ÷ 5 = 17
Number of biscuits that Aunt Zoe made
= 10 u
= 10 x 17
= 170
Answer(s): 170