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Anastasy [175]
2 years ago
6

26. Christopher orders a 3 topping pizza for $15.35, and a 5 topping pizza for $17.95.

Mathematics
1 answer:
Naddik [55]2 years ago
8 0

Answer:

  • plain cheese $11.45
  • each topping $1.30

Step-by-step explanation:

Let c represent the price of a cheese pizza (no toppings), and t represent the price of a topping.

  c + 3t = 15.35 . . . . cost of a 3-topping pizza

  c + 5t = 17.95 . . . . cost of a 5-topping pizza

__

Subtract the first equation from the second.

  (c +5t) -(c +3t) = (17.95) -(15.35)

  2t = 2.60 . . . simplify [equation 3]

  t = 1.30 . . . . . divide by 2

Then the cost of the cheese pizza is ...

  c = 15.35 -3t = 15.35 -3(1.30) = 11.45

A plain cheese pizza costs $11.45; each topping costs $1.30.

_____

<em>Comment on the working</em>

If you're paying attention to what the problem statement is telling you, you should be able to arrive at "equation 3" without much thought. The 5-topping pizza differs from the 3-topping pizza only in the price of 2 toppings. Once you know the price of a topping, figuring the base price of the pizza is not hard.

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