Nora is picking apples, and she wants both gala and honeycrisp apples for pies. She needs at least 19 apples. There is a shortage of gala apples, so the orchard requests that each visitor pick no more than 5 gala apples.

Question

Nora is picking apples, and she wants both gala and honeycrisp apples for pies. She needs at least 19 apples. There is a shortage of gala apples, so the orchard requests that each visitor pick no more than 5 gala apples.

To represent the situation, Nora defined x as the number of gala apples and y as the number of honeycrisp apples. She wrote this system of inequalities:
x≤5
x+y≤19
Does the system of inequalities correctly represent the situation?

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Answer 1

Yes, the system of inequalities correctly represents the situation. The first inequality x ≤ 5 represents the fact that Nora can pick no more than 5 gala apples. The second inequality x + y ≤ 19 represents the fact that she needs at least 19 apples in total, combining gala and honeycrisp apples.