At manny's taco shop, you can get an order of chips and two tacos for $9.25. the cost for two orders of chips and five tacos is $21.75. what is the cost of an order of chips?

define your variables:

write your system of equations:

solve the system:

answer the question being asked:

topic: applying systems of equations

At Manny's taco shop, you can get an order of chips and two tacos for $9.25. The cost for two orders of chips and five tacos is $21.75.

You can get an order of chips and two tacos for $9.25.

1 Chips + 2 Tacos = 9.25

The cost for two orders of chips and five tacos is $21.75.

2 Chips + 5 Tacos = 21.75

First equate the coefficient - in this case x:

(x + 2y = 9.25) * 2 = 2x + 4y = 18.50

2x + 4y = 18.50

2x + 5y = 21.75

Minus the equations from each other to remove the coefficient you equated:

(2x + 5y) - (2x + 4y) = 21.75 - 18.50

(2x - 2x) + (5y - 4y) = 21.75 - 18.50

1 Taco = $3.25

y = 3.25

Substitute this into the equation.

x + 2y = 9.25

x + (2 * 3.25) = 9.25

x + 6.50 = 9.25

Rearrange to find x:

x = 9.25 - 6.50

x = 2.75

Chips = $2.75

step-by-step explanation: