Solve the problem.
-A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 3 bags of potato chips for $12.50. Another customer buys 2 hot dogs and 3 bags of potato chips for $8.50. Find the cost of each item.
A) $2.00 for a hot dog; $1.75 for a bag of potato chips
B) $1.50 for a hot dog; $2.00 for a bag of potato chips
C) $2.25 for a hot dog; $1.75 for a bag of potato chips
D) $2.00 for a hot dog; $1.50 for a bag of potato chips

Question

Quizplus · Accepted Answer

Let x be the cost of a hot dog and y be the cost of a bag of potato chips. Then we have two equations:

4x + 3y = 12.50
2x + 3y = 8.50

Subtracting the second equation from the first, we get:

2x = 4

Solving for x, we get:

x = 2

Substituting x = 2 into the second equation, we get:

2(2) + 3y = 8.50

Solving for y, we get:

y = 1.50

Therefore, the cost of a hot dog is $2.00 and the cost of a bag of potato chips is $1.50, so the correct choice is D.

Solve the Problem. -A Vendor Sells Hot Dogs and Bags of Potato Chips