question #2\na pizzeria charges $17 for pizza a and $13 for pizza b. ingredient costs are $450 per week for…

question #2\na pizzeria charges $17 for pizza a and $13 for pizza b. ingredient costs are $450 per week for pizza a and $310 per week for pizza b. last week, the pizzeria sold an equal number of both pizza types, and the weekly profit from the sale of each pizza type was the same. if x represents the number of pizza b sold, what is the value of x?\n1. 30\n2. 35\n3. 140\n4. 145

question #2\na pizzeria charges $17 for pizza a and $13 for pizza b. ingredient costs are $450 per week for pizza a and $310 per week for pizza b. last week, the pizzeria sold an equal number of both pizza types, and the weekly profit from the sale of each pizza type was the same. if x represents the number of pizza b sold, what is the value of x?\n1. 30\n2. 35\n3. 140\n4. 145

Answer

Explanation:

Step1: Set up profit - equations

Profit of Pizza A = Revenue of Pizza A - Cost of Pizza A. Revenue of Pizza A is $17x$ and cost is $450$, so profit of Pizza A is $17x - 450$. Revenue of Pizza B is $13x$ and cost is $310$, so profit of Pizza B is $13x - 310$.

Step2: Set the two profit - equations equal

Since the weekly profit from the sale of each pizza type was the same, we set $17x−450 = 13x−310$.

Step3: Solve for x

Subtract $13x$ from both sides: $17x−13x−450=13x−13x - 310$, which simplifies to $4x−450=-310$. Then add 450 to both sides: $4x−450 + 450=-310 + 450$, giving $4x = 140$. Divide both sides by 4: $x=\frac{140}{4}=35$.

Answer:

  1. 35