Question

Write a representation for the situation below:

Ruby’s Café and Grill is opening on Tuesday. They offer hotdogs for $2.00 and cheeseburgers for $3.00. Ruby’s café had to spend 35$ on food before opening, the made over is $352 on Tuesday.

Answer 1

Ruby's Café and Grill's situation can be represented by using algebraic expressions to calculate income, expenses, and profit, showcasing the application of fundamental mathematical principles.

Step-by-step explanation:

The situation described in the question involves Ruby’s Café and Grill which is opening on Tuesday and includes their costs and revenue on the opening day. We can represent this scenario using the concepts of income, expenses, and profit. Ruby's Café had an expense of $35 for food before opening. They earned over $352 on Tuesday, which would be their income for the day. The profit can be calculated by subtracting the expenses from the income. This is a straightforward application of algebraic concepts where we define variables for the quantities of hotdogs and cheeseburgers sold and calculate the profit.

A possible representation for the scenario could be as follows:

• Let H be the number of hotdogs sold at $2.00 each.
• Let C be the number of cheeseburgers sold at $3.00 each.
• Total income (I) from sales is I = 2H + 3C.
• Total expenses (E) are E = $35.
• Profit (P) is calculated as P = I - E.
• Given that Ruby's income on Tuesday is $352, we have I = $352.

To find the profit for Ruby’s Café and Grill on opening day, we would calculate P = $352 - $35 which equals $317.