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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?

Respuesta :

cael
It should be   (2a+3r)-(1a+2r).

Answer:

The expression (a+r)   could be used by Isabelle to calculate the difference between the amounts she spent each week.

Step-by-step explanation:

Given

a= the cost of each bag of apples

r=the cost of each bag of oranges

Therefore amount spent by Isabelle in the first week, [tex]P_{w1}=2a+3r[/tex]

and amount spent by Isabelle in the next week, [tex]P_{w2}=a+2r[/tex]

Thus difference between the amount she spent is given by

[tex]P=P_{w1}-P_{w2}=(2a+3r)-(a+2r)[/tex]

=>[tex]P=(2a+3r)-(a+2r)=(a+r)[/tex]

Thus the expression  (a+r)   could be used by Isabelle to calculate the difference between the amounts she spent each week.

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