Aunt Julie made 55 less shortbreads than tarts. After she gave 0.9 of the shortbreads and
25 of the tarts to Hilda, she was left with 93 less shortbreads than tarts. How many tarts did she make?
| |
Shortbreads |
Tarts |
Comparing shortbreads
and tarts 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 shortbreads
and tarts in the end |
|
93 more |
0.9 =
910 25 x 55 = 22
Number of tarts that Aunt Julie gave to Hilda = 4 u + 22
If Aunt Julie made another 93 shortbreads in the end, the number of shortbreads and tarts in the end would be the same.
6 u + 33 = 1 u + 93
6 u - 1 u = 93 - 33
5 u = 60
1 u = 60 ÷ 5 = 12
Number of tarts that Aunt Julie made
= 10 u + 55
= 10 x 12 + 55
= 120 + 55
= 175
Answer(s): 175
