Question

Gina's Italian Cafe charges $12 plus $2 per topping for a 12-inch pizza. Pete's Pizza Palace charges $10 plus $2.50 per topping for a 12-inch pizza. Choose Yes or No to tell if each statement is correct. A pizza from Gina's always costs more than a pizza from Pete's. Yes or No A pizza from Gina's always costs less than a pizza from Pete's. Yes or No The cost of a 3-topping pizza from Gina's is $0.50 more than a 3-topping pizza from Pete's. Yes or No The cost of a 5-topping pizza from Gina's is $0.50 less than a 5-topping pizza from Pete's. Yes or No

Answer 1

• A pizza from Gina's always costs more than a pizza from Pete's. NO
• A pizza from Gina's always costs less than a pizza from Pete's. NO
• The cost of a 3-topping pizza from Gina's is $0.50 more than a 3-topping pizza from Pete's. YES
• The cost of a 5-topping pizza from Gina's is $0.50 less than a 5-topping pizza from Pete's. YES

Explanation:

Hi, to answer this question we have to write a cost equation for each pizza place:

Gina's Italian cafe: 12+2x

Pete's pizza palace: 10+2.50x

Where x is the number of toppings

If both costs are equal

12+2x =10+2.50x

12-10=2.50x-2x

2 = 0.50x

2/0.50=x

4=x

A 4 topping pizza cost the same at both places. SO:

A pizza from Gina's always costs more than a pizza from Pete's. NO

A pizza from Gina's always costs less than a pizza from Pete's. NO

• For 3 toppings;

Gina’s pizza = 12+2(3) = $18

Pete's pizza = 10+2.50(3) = $17.5

18(Gina’s)-17.5 (Pete’s)= $0.5 less at Pete's

The cost of a 3-topping pizza from Gina's is $0.50 more than a 3-topping pizza from Pete's. YES

• For 5 toppings:

Gina’s pizza = 12+2(5) = $22

Pete's pizza = 10+2.50(5) = $22.5

22.5(Pete’s)-22 (Gina’s) = $0.5 less at Gina's

The cost of a 5-topping pizza from Gina's is $0.50 less than a 5-topping pizza from Pete's. YES