SOLUTION: Q20. A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 8 slices of pizza and 4 soft drinks for $29.40. The second grou

Algebra ->  Inequalities -> SOLUTION: Q20. A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 8 slices of pizza and 4 soft drinks for $29.40. The second grou      Log On


   

Question 1007773: Q20. A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 8 slices of pizza and 4 soft drinks for $29.40. The second group bought 7 slices of pizza and 6 soft drinks for $30.30. How much does one slice of pizza cost?
a. $2.26 per slice of pizza
b. $2.76 per slice of pizza
c. $2.33 per slice of pizza
d. $1.83 per slice of pizza


Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Linear system of equations in two variables.
x for price of pizza slice
y for price of drink

Account for the number of items in a group;
Account for cost in a group;
Those are the equations. Solve for x and y.

The first group: system%288x%2B4y=29.40%2Cx%2By=8%2B4%29

The second group: system%287x%2B6y=30.30%2Cx%2By=13%29

The solutions for the two systems should be the same.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
Q20. A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 8 slices of pizza and 4 soft drinks for $29.40. The second group bought 7 slices of pizza and 6 soft drinks for $30.30. How much does one slice of pizza cost?
a. $2.26 per slice of pizza
b. $2.76 per slice of pizza
c. $2.33 per slice of pizza
d. $1.83 per slice of pizza
Equations: system%288P+%2B+4S+=+29.4%2C%22reduced_to%22%2C4P+%2B+2S+=+14.7%2C7P+%2B+6S+=+30.3%29

Cost of 1 slice of pizza: highlight_green%28%22%24%222.76%29 (CHOICE b.)