Question

Ana paid $11 for a bag of chips and four candy bars. Dan paid $16 for two bags of chips and five candy bars. Find the price of a bag of chips and of a candy bar.

A) Bag of chips = $2, Candy bar = $1
B) Bag of chips = $3, Candy bar = $2
C) Bag of chips = $4, Candy bar = $1
D) Bag of chips = $2, Candy bar = $2

Answer 1

To find the price of a bag of chips and a candy bar, two equations were formulated from the given information. Through solving the system of equations, it was determined that a bag of chips costs $3 and a candy bar costs $2, corresponding to option B).

Step-by-step explanation:

To solve the problem provided by the student, we need to set up two equations based on the given information:

• Ana paid $11 for 1 bag of chips and 4 candy bars.
• Dan paid $16 for 2 bags of chips and 5 candy bars.

Let's denote the price of a bag of chips as c and the price of a candy bar as b. Using this notation, we can form the following equations based on the information given:

1. c + 4b = $11
2. 2c + 5b = $16

Now, we can solve this system of equations to find c and b. Multiplying the first equation by 2 gives us:

• 2c + 8b = $22

By subtracting this from the second equation, we get:

• (2c + 5b) - (2c + 8b) = $16 - $22
• -3b = -$6
• b = $2

With the value of b, we can substitute back into the first equation:

• c + 4($2) = $11
• c + $8 = $11
• c = $11 - $8
• c = $3

Therefore, the bag of chips costs $3 and the candy bar costs $2. So, the correct answer is option B).