At the end of the season Mr. McDonough brought his team out for pizza to celebrate a great
season. He ordered 5 pepperoni pizzas and 3 cheese pizzas and paid $80.25. He realized they
were going to run out of pizza so he decided to order one more of each. The cost of 1
pepperoni pizza and 1 cheese pizza was $19.75. What is the cost of a pepperoni pizza?

Please someone help break this down and solve!

$10.625

Step-by-step explanation:

5x+3y=80.25

x+y=19.75 ; x=19.75 - y

5(19.75-y) +3(y)=80.25

98.5-5y+3y=80.25 ; -2y= -18.25

y= 9.125 or y= 9.13

x+9.125= 19.75 ; x= 10.625

given that x is a pepperoni pizza and y is a cheese pizza,

a pepperoni is 10.625 rounded to how the question/examiner wants it rounded, and a cheese pizza is 9.125 respectively.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.