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13 November, 16:04

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

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  1. 13 November, 16:33
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    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

    Step-by-step 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
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