High School

Mrs. Burgos wants to buy at least 30 kilos of pork and beef for her restaurant business but can spend no more than 12,000 pesos. A kilo of pork costs 180 pesos and a kilo of beef costs 220 pesos.

Answer :

Final answer:

The question is about solving a system of linear inequalities. Mrs. Burgos's conditions translate into the inequalities: x + y >= 30 and 180x + 220y <= 12000, where x represents kilos of pork and y represents kilos of beef. Solving these inequalities provides the different combinations of pork and beef she can purchase.

Explanation:

The subject of this question is a practical example of a linear inequality problem in Mathematics. For Mrs. Burgos to meet her requirement of buying at least 30 kilos of pork and beef with no more than 12,000 pesos, we need to create an inequality expression. If we let x represent the kilos of pork and y represent the kilos of beef, we can express the conditions of the problem as a system of linear inequalities:

Quantity requirement: x + y >= 30

Cost consideration: 180x + 220y <= 12000

Now, Mrs. Burgos can solve these inequalities to find the possible combinations of pork and beef that meet her needs. These solutions will indicate the different combinations of kilos of pork and beef Mrs. Burgos can buy to satisfy both conditions.

Learn more about Linear Inequalities here:

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