Answer:
[tex]-a-r[/tex] OR [tex]a+r[/tex]
Step-by-step explanation:
First week cost of Isabelle:
2 bags of apples at a price of [tex]a[/tex] each, so total cost is [tex]2a[/tex]
3 bags of oranges at a price of [tex]r[/tex] each, so total cost is [tex]3r[/tex]
Sum of these two: [tex]2a+3r[/tex]
Second week cost of Isabelle:
1 bag of apple at a price of [tex]a[/tex] each, so total cost is [tex]a[/tex]
2 bags of oranges at a price of [tex]r[/tex] each, so total cost is [tex]2r[/tex]
Sum of these two: [tex]a+2r[/tex]
Depending on the price of bags of apples and oranges, the second week can cost more, or the first week's total could be more.
- If 2nd weeks total is more than 1st week's total:
The difference is 2nd week's total minus first week's total:
[tex](a+2r)-(2a+3r)\\=-a-r[/tex]
- If 1st weeks total is more than 2nd week's total:
The difference is 1st week's total minus second week's total:
[tex](2a+3r)-(a+2r)\\=a+r[/tex]
