Question

Bella often orders party trays from her favorite Mexican food restaurant for company events. For a recent company party, she spent $203 on 3 burrito platters and 4 taco platters. For a company meeting, she spent $285 on 5 burrito platters and 4 taco platters. How much does each type of platter cost?

Answer 1

The cost of each burrito platters is $ 41 and cost of each taco platter is $ 20

Solution:

Let "a" be the cost of each burrito platters sold

Let "b" be the cost of each taco platters sold

She spent $203 on 3 burrito platters and 4 taco platters

Thus we frame a equation as:

3 burrito platters x cost of each burrito platters + 4 taco platters x cost of each taco platters = 203

$3 \times a + 4 \times b = 203\\\\3a + 4b = 203 --------- eqn 1$

For a company meeting, she spent $285 on 5 burrito platters and 4 taco platters

Thus we frame a equation as:

5 burrito platters x cost of each burrito platters + 4 taco platters x cost of each taco platters = 285

$5 \times a + 4 \times b = 285\\\\5a + 4b = 285 --------- eqn 2$

Let us solve eqn 1 and eqn 2

Subtract eqn 1 from eqn 2

5a + 4b - 3a - 4b = 285 - 203

2a = 82

a = 41

Substitute a = 41 in eqn 1

3(41) + 4b = 203

123 + 4b = 203

4b = 203 - 123

4b = 80

b = 20

Thus cost of each burrito platters is $ 41 and cost of each taco platter is $ 20