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?

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