Question

(HELP ASAP PLEASE)

Zoe often orders party trays from her favorite Mexican food restaurant for company events. For a recent company party, she spent $239 on 4 burrito platters and 5 taco platters. For a company meeting, she spent $208 on 3 burrito platters and 5 taco platters. How much does each type of platter cost?

Each burrito platter costs $___ and each taco platter costs $___ .

Answer 1

Each burrito platter costs $_31__ and each taco platter costs $_23__ .

Explanation:

Let the cost of a burrito platter be x and the cost of a taco platter be y;

4 burrito platters and 5 taco platters would cost;

4x + 5y = 239

3 burrito platters and 5 taco platters would cost;

3x + 5y = 208

We can solve the two equations simultaneously via elimination method. We subtract the two equations in order to eliminate y and solve for x;

4x - 3x = 239 - 208

x = 31

Using the first equation, substitute x = 31 and solve for y;

4(31) + 5y = 239

124 + 5y = 239

5y = 115

y = 23