Question

You bought 5 chocolate bars and 8 Blow Pops for $23.25. Your sister bought 2 chocolate bars and 13 Blow Pops for $21.55. How much did each chocolate bar cost? Each chocolate bar cost $

A) 1.50
B) 2.00
C) 2.25
D) 2.50

Answer 1

To find the cost of each chocolate bar, we set up a system of equations. Solving the system gives a cost of $2.65 per chocolate bar.

Step-by-step explanation:

To find the cost of each chocolate bar, we need to set up a system of equations based on the given information:

Let x be the cost of each chocolate bar, and let y be the cost of each Blow Pop.
From the first statement, we have the equation:
5x + 8y = 23.25
From the second statement, we have the equation:
2x + 13y = 21.55

Now we can solve this system of equations using either substitution or elimination.

Using the elimination method, we can multiply the first equation by 2 and the second equation by 5 to eliminate the x variable:
10x + 16y = 46.50
10x + 65y = 107.75

Subtracting the first equation from the second equation gives:
49y = 61.25
y = 1.25

Substituting this value of y back into the first equation gives:
5x + 8(1.25) = 23.25
5x + 10 = 23.25
5x = 23.25 - 10
5x = 13.25
x = 2.65

Therefore, each chocolate bar costs $2.65. The answer is not among the given options, so we cannot determine the correct answer based on the options provided.