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Audrey and her children went into a grocery store and will buy apples and peaches. She must buy a maximum of 8 apples and peaches altogether. Write an inequality that would represent the possible values for the number of apples purchased, 
a, and the number of peaches purchased, 
p.
Answer:

Audrey and her children went into a grocery store and will buy apples and peaches. She must buy a maximum of 88 apples and peaches altogether. Write an inequality that would represent the possible values for the number of apples purchased, a a , and the number of peaches purchased, p p .\newlineAnswer:

Full solution

Q. Audrey and her children went into a grocery store and will buy apples and peaches. She must buy a maximum of 88 apples and peaches altogether. Write an inequality that would represent the possible values for the number of apples purchased, a a , and the number of peaches purchased, p p .\newlineAnswer:
  1. Define Variables: Let's define the variables:\newlinea=a = number of apples purchased\newlinep=p = number of peaches purchased\newlineThe problem states that Audrey can buy a maximum of 88 apples and peaches altogether.
  2. Write Inequality: We need to write an inequality that represents the sum of apples and peaches being less than or equal to 88.\newlineThe inequality will be:\newlinea+p8a + p \leq 8
  3. Check Inequality: Now, let's check if the inequality makes sense in the context of the problem. If Audrey buys 88 apples and no peaches, the inequality would be 8+088 + 0 \leq 8, which is true. If she buys 55 apples and 33 peaches, the inequality would be 5+385 + 3 \leq 8, which is also true. If she buys 99 apples and no peaches, the inequality would be 9+089 + 0 \leq 8, which is false, and that's consistent with the problem's condition that she cannot buy more than 88 fruits in total.

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