Problema Solution

At an Italian bistro, the cost of 2 plates of spaghetti and 1 salad is $27.50. The cost for 4 plates of spaghetti and 3 salads is $59.50. Write and solve a system of equations to find the cost of 1 plate of spaghetti and 1 salad.

Answer provided by our tutors

let


x = the cost of 1 plate of spaghetti


y = the cost of 1 salad


the cost of 2 plates of spaghetti and 1 salad is $27.50:


2x + y = 27.50


The cost for 4 plates of spaghetti and 3 salads is $59.50:


4x + 3x = 59.50


by solving the system of equations:


2x + y = 27.50


4x + 3x = 59.50


we find:


x = $8.50


y = $10.50


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the cost of 1 plate of spaghetti and 1 salad is:


$8.50 + $10.50 = $19.00.