Question

Age 1:

2
3
Question 1 (1 point)
Marcel bought 4 pieces of pizza and 2 brownies from the concession stand and paid
$18.50. Morgan bought 3 pieces of pizza and two brownies and paid $14.25. Find
the cost of one brownie.
5
6
$0.75
8
9
$3.50
$5.00
11
12
$4.25
Question 2 (1 point)
Cole went to the store and bought pants and shirts. He bought a total of 12 items
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Answer 1

The cost of one brownie is $0.75

Explanation:

The given parameters are;

The number of pizza's Marcel bought = 4 pieces

The number of brownies Marcel bought = 2 brownies

The amount Marcel paid = $18.50

The number of pizza's Morgan bought = 3 pieces

The number of brownies Morgan bought = 2 brownies

The amount Morgan paid = $14.25

Let x represent the cost of a pizza and y represent the cost of a brownie, we have;

4·x + 2·y = $18.50...(1)

3·x + 2·y = $14.25...(2)

Subtracting equation (1) from equation (2) gives;

4·x + 2·y - (3·x + 2·y) = $18.50 - $14.25 = $4.25

4·x - 3·x + 2·y - 2·y = $4.25

x = $4.25

The cost of a pizza = x = $4.25

4·x + 2·y = $18.50

2·y = $18.50 - 4·x = $18.50 - 4×$4.25 = $1.5

y = $1.5/2 = $0.75

y = $0.75

The cost of a brownie = $0.75