Solve the problem.
-A tour group split into two groups when waiting in line for food at a fast food counter. The first groupbought 7 slices of pizza and 4 soft drinks for $31.35. The second group bought 5 slices of pizza and 5 softdrinks for $26.40. How much does one slice of pizza cost?
A)$3.41 per slice of pizza
B)$1.87 per slice of pizza
C)$2.91 per slice of pizza
D)$2.37 per slice of pizza

Question

Quizplus · Accepted Answer

Let x be the cost of a slice of pizza and y be the cost of a soft drink.For the first group:7x + 4y = 31.35For the second group:5x + 5y = 26.40Solving the system of equations:7x + 4y = 31.355x + 5y = 26.40Multiply the second equation by -4:-20x - 20y = -105.60Add the two equations:-13x - 16y = -74.25Divide by -13:x = 5.67Substitute x = 5.67 into the first equation:7(5.67) + 4y = 31.3540.09 + 4y = 31.354y = -8.74y = -2.185Therefore, the cost of a slice of pizza is $5.67.

Solve the Problem. -A Tour Group Split into Two Groups When Waiting in When