Math Snap

STEP 1

Assumptions1. The total plate cost of the pizza is $1.75. The desired food cost percent is30.0\%
3. The selling price is calculated based on the food cost percent

STEP 2

The food cost percent is defined as the ratio of the cost of the food to the selling price. We can express this as a formula$$Food\, cost\, percent = \frac{Cost\, of\, food}{elling\, price}$$

STEP 3

We want to find the selling price, so we rearrange the formula to solve for the selling price$$elling\, price = \frac{Cost\, of\, food}{Food\, cost\, percent}$$

STEP 4

Now, plug in the given values for the cost of food and the food cost percent to calculate the selling price.
elling\, price = \frac{\($\)1.75}{30.0\%}

STEP 5

Convert the percentage to a decimal value.
$$30.0\% =0.3$$elling\, price = \frac{\($\)1.75}{0.3}

Calculate the selling price.
elling\, price = \frac{\($\)1.75}{0.3} = \($\)5.83The preliminary selling price for the grilled pizza with spinach and goat cheese should be $5.83.