Question

Matt and Mark went to El Rodeo to have some dinner. Matt ordered 3 tacos and 2 enchiladas, which cost him $4.93. Mark ordered 2 tacos and 4 enchiladas, which cost him $6.38. What is the cost of one taco and what is the cost of one enchilada?

Answer 1

The cost of one taco is $0.87 and the cost of one enchilada is $1.16

Explanation:

Let the cost of tacos be X

and cost of enchiladas be y

So, by using given data, we have following equations

3X + 2Y = 4.93 (1)

2X + 4Y = 6.38 (2)

So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.

= 2 × ( 3X + 2Y = 4.93) (1)

= 3 × (2X + 4Y = 6.38) (2)

= - (6X + 4Y = 9.86) (1)

= 6X + 12y = 19.14 (2)

= 8Y = 9.28

Y = 9.28 ÷ 8 = 1.16

By putting the value of Y in equation 1, we get

3X + 2(1.16) = 4.93

3X + 2.32 = 4.93

X = 2.61 ÷ 3 = 0.87

Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.