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:
Q. 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:
Define Variables: Let's define the variables:a= number of apples purchasedp= number of peaches purchasedThe problem states that Audrey can buy a maximum of 8 apples and peaches altogether.
Write Inequality: We need to write an inequality that represents the sum of apples and peaches being less than or equal to8.The inequality will be:a+p≤8
Check Inequality: Now, let's check if the inequality makes sense in the context of the problem. If Audrey buys 8 apples and no peaches, the inequality would be 8+0≤8, which is true. If she buys 5 apples and 3 peaches, the inequality would be 5+3≤8, which is also true. If she buys 9 apples and no peaches, the inequality would be 9+0≤8, which is false, and that's consistent with the problem's condition that she cannot buy more than 8 fruits in total.
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