(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 $_ .

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Respuesta :

Hulkk Hulkk · Answer 1 · 2019-05-25T11:06:37+02:00

Answer:

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

Step-by-step 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