Question

George paid $8.70 for 3 tacos and 2 sodas. Rita paid $9.80 for 2 tacos and 4 sodas.

a) Each soda costs the same, so how much does it cost for 1 soda?
b) How much does one taco cost?

Set up the system of equations and solve.

Answer 1

A) 3 tacos + 2 sodas = 8.70

B) 2 tacos + 4 sodas = 9.80

Multiplying equation A) by -2

A) -6 tacos -4 sodas = -17.40

Then adding in equation B)

B) 2 tacos + 4 sodas = 9.80 results in

-4 tacos = -7.60

tacos cost 1.90 each

sodas cost 1.50 each

Explanation: