Question

What is the answer to this problem

Answer 1

Answer:

A

Step-by-step explanation:

lets say a slice of pizza = x

can of soda = y

So Kay buys one slice of pizza and one can of soda for $4:

x + y = 4

And Mark buys 6 slices of pizza and 2 cans of soda for $18:

6x + 2y = 18

Now that we have 2 equations we can solve simultaneously using the method of substitution.

1st. x + y = 4

2nd. 6x + 2y = 18

Make x the subject of the formula for equation 1.

x = 4 - y

Substitute in equation 2.

6(4-y) + 2y = 18

Find y.

24 - 6y + 2y = 18

24 - 4y = 18

-4y = -6

y = 1.5

so $1.50 is the can of soda.

Now y is found, it can be used in the 1st equation.

x + 1.5 = 4

x = 2.50

hence, the pizza slice costs $2.50

Answer 2

Answer:

A

Step-by-step explanation:

let x= pizza y= soda

kay:

x+y=4

Mark:

6x+2y=18

From kay's equation

x= 4-y

substiute that into mark's

6(4-y)+2y=18

24-6y+2y=18

-4y= -6

y= 1.5

Plug in y= 1.5 in either equation to solve for x

x+1.5=4

x=2.5

So a pizza is 2.5 and a soda is 1.5

the answer must be A