One week, Isabelle bought 2 bags of apples and 3 bags of oranges. The next week, she bought 1 bag of apples and 2 bags of oranges. If a represents the cost of each bag of apples and r represents the cost of each bag of oranges, which expression could Isabelle use to calculate the difference between the amounts she spent each week?
Answer:
\(-a-r\) OR \(a+r\)
Step-by-step explanation:
First week cost of Isabelle:
2 bags of apples at a price of \(a\) each, so total cost is \(2a\)
3 bags of oranges at a price of \(r\) each, so total cost is \(3r\)
Sum of these two: \(2a+3r\)
Second week cost of Isabelle:
1 bag of apple at a price of \(a\) each, so total cost is \(a\)
2 bags of oranges at a price of \(r\) each, so total cost is \(2r\)
Sum of these two: \(a+2r\)
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.
The difference is 2nd week's total minus first week's total:
\((a+2r)-(2a+3r)\\=-a-r\)
The difference is 1st week's total minus second week's total:
\((2a+3r)-(a+2r)\\=a+r\)
Answer: D (2a+3r)-(a +2r)
Step-by-step explanation:
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