Question

Barry's hot dogs sold two kinds of dogs. The monster dogs sell for $4.50, and the regular dogs sell for $3.25. One day, Barry sells 121 dogs for $492.00. How many monster dogs did he sell on that day?

A) 42
B) 64
C) 87
D) 79
E) 57

Answer 1

To determine how many monster dogs Barry sold, set up a systme of equations using the given information. Solve the system of equations to find the number of monster dogs sold. Barry sold 78 monster dogs on that day.

Step-by-step explanation:

To determine how many monster dogs Barry sold, we can set up a system of equations. Let's assign variables to represent the number of monster dogs and regular dogs he sold. Let's say x represents the number of monster dogs and y represents the number of regular dogs. From the information given, we know that the cost of one monster dog is $4.50 and the cost of one regular dog is $3.25. We also know that Barry sold a total of 121 dogs for $492.00.

We can set up the following two equations:

x + y = 121 (equation 1)

4.50x + 3.25y = 492.00 (equation 2)

We can solve this system of equations using substitution or elimination. Let's use substitution:

1. Solve equation 1 for x: x = 121 - y.
2. Substitute this value of x into equation 2: 4.50(121 - y) + 3.25y = 492.00.
3. Simplify and solve for y: 546 - 4.50y + 3.25y = 492.00. Combine like terms: -1.25y = -54.00. Divide both sides by -1.25: y = 43.2.
4. Since y represents the number of regular dogs, we need to round it to the nearest whole number, which is 43.
5. Substitute this value of y into equation 1: x + 43 = 121. Solve for x: x = 78.

Therefore, Barry sold 78 monster dogs on that day. The correct answer is D) 79.