Browse · MATH
Printjmc
algebra intermediate
Problem
Ramon sells two enchiladas and three tacos for $\2.50 and he sells three enchiladas and two tacos for $\2.70. Assuming a fixed price per item, what is the cost, in dollars, of three enchiladas and four tacos? Express your answer as a decimal to the nearest hundredth.
Solution
Suppose that a taco costs dollars and and enchiladas cost dollars each. Then the given information implies that and . Multiplying the first equation by 3 yields , and multiplying the second equation by 2 gives . Subtracting these two equations, we see that . Thus one taco costs , and two tacos are . Since we are given the price of three enchiladas and two tacos, we see that three enchiladas and four tacos total 2.70 + .84 = \boxed{\3.54}$.
Final answer
\$3.54