Question
Kaelyn and her family went into a grocery store where they sell peaches for 1 each and mangos for 0.50 each. Kaelyn has 9 to spend and must buy at least 13 peaches and mangos altogether. Write a system of inequalities that could represent this situation. A ygeqslant -x+13 and x+0.5yleqslant 9 B yleqslant -x+13 and x+0.5yleqslant 9 C ygeqslant -x+13 and x+0.5ygeqslant 9 D yleqslant -x+13 and x+0.5ygeqslant 9
Solution
4.4
(252 Votos)
Paulo
Profissional · Tutor por 6 anos
Resposta
To represent the situation with a system of inequalities, we need to consider the constraints given in the problem.Let's define:-
as the number of peaches Kaelyn buys.-
as the number of mangos Kaelyn buys.Given constraints:1. Kaelyn has
1.3. The cost of each mango is $0.50.4. Kaelyn must buy at least 13 peaches and mangos altogether.The total cost constraint can be written as:
The total number of fruits constraint can be written as:
Now, let's rewrite the second inequality in terms of
:
So the system of inequalities representing the situation is:
Therefore, the correct answer is:A)
and