Question

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 1

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.

• If 2nd weeks total is more than 1st week's total:

The difference is 2nd week's total minus first week's total:

$(a+2r)-(2a+3r)\\=-a-r$

• If 1st weeks total is more than 2nd week's total:

The difference is 1st week's total minus second week's total:

$(2a+3r)-(a+2r)\\=a+r$

Answer 2

Answer: D (2a+3r)-(a +2r)

Step-by-step explanation:

Right in edge 2020