Aunt Nicole made 45 less shortbreads than tarts. After she gave 0.7 of the shortbreads and
25 of the tarts to Lynn, she was left with 48 less shortbreads than tarts. How many tarts did she make?
| |
Shortbreads |
Tarts |
Comparing shortbreads
and tarts at first |
|
45 more |
Before |
10 u |
5x2 + 45 =
10 u + 45 |
Change |
- 7 u |
- 2x2 - 18 =
- 4 u - 18
|
After |
3 u |
3x2 + 27 =
6 u + 27 |
Comparing shortbreads
and tarts in the end |
|
48 more |
0.7 =
710 25 x 45 = 18
Number of tarts that Aunt Nicole gave to Lynn = 4 u + 18
If Aunt Nicole made another 48 shortbreads in the end, the number of shortbreads and tarts in the end would be the same.
6 u + 27 = 3 u + 48
6 u - 3 u = 48 - 27
3 u = 21
1 u = 21 ÷ 3 = 7
Number of tarts that Aunt Nicole made
= 10 u + 45
= 10 x 7 + 45
= 70 + 45
= 115
Answer(s): 115
