Question

Carmen often orders party trays from her favorite Mexican food restaurant For company events. For a recent company party, she spent $58 on one burrito platter and one taco platter. For a company meeting, she spent $90 on to burrito platters and one taco platter. How much does each type of platter cost?

Answer 1

Using a system of linear equations, the cost of one burrito platter is found to be $32, and the cost of one taco platter is $26.

Step-by-step explanation:

We have a system of linear equations representing the cost of the burrito and taco platters from Carmen's favorite Mexican restaurant. Let B be the cost of a burrito platter and T be the cost of a taco platter. The two scenarios give us the following equations:

• B + T = $58 (one burrito platter and one taco platter)
• 2B + T = $90 (two burrito platters and one taco platter)

To solve this system, we can subtract the first equation from the second, which gives:

2B + T - (B + T) = $90 - $58

B = $32, which means the cost of one burrito platter is $32.

Substitute B in the first equation:

32 + T = $58

T = $58 - $32

T = $26, which means the cost of one taco platter is $26.

Therefore, a burrito platter costs $32, and a taco platter costs $26.

Answer 2

Cost of 1 burrito = $32

Cost of 1 taco platter = $26

Step-by-step explanation:

Let us assume the cost of 1 burrito = $ m

And the cost of 1 taco platter = $ n

Now, according to the question:

Cost of 1 burrito + 1 taco platter = $58

⇒ m + n = $ 58 ..... (1)

Cost of 2 burrito + 1 taco platter = $90

⇒ 2 m + n = $ 90 ..... (2)

Solving both equation, we get:

(2) - (1) ⇒ 2 m + n - m -n = 90 - 58

m = 32

⇒ n = 58 - 32 = 26 ⇒ n = 26

Hence, cost of 1 burrito = $32

and the cost of 1 taco platter = $26