Brandy and Adriana went out to eat at a new restaurant in town. Brandy ordered 3 tacos and 2 burritos for $7.40. Adriana ordered 4 tacos and 1 burrito for $6.45. Set up a system of equations to model the situation. Determine the cost of one taco and one burrito. Use x for tacos and y for burritos. Then determine the cost if you wanted to order 3 tacos and 4 burritos.
**Do not include symbols ($) or labels. Write your equations using x and y and no spaces.
Equation 1:________________(this equation should have 7.40 in it)
Equation 2:________________
**Do not include symbols ($) or labels.
Cost of one taco: ___________
Cost of one burrito: ______________
**Do not include symbols ($) or labels.
The total cost of 3 tacos and 4 burritos: _____________
Thanks for taking the time out of your day/night to help me!
Cost of 1 taco: x Cost of 1 burrito: y
Equation 1: 3x+2y=7.40 Equation 2: 4x+y= 6.45
To solve for x and y, we can use elimination.
Multiply the top equation by -1:
-3x-2y=-7.40
Add this equation to the bottom equation:
x-y=-1
Divide both sides by 1 to solve for x:
x=1
Substitute 1 for x in the top equation:
3(1)+2y=7.40
3+2y=7.40
2y=4.40
y=2.20
Therefore: Cost of 1 taco: 1 Cost of 1 burrito: 2.20
To calculate the cost of 3 tacos and 4 burritos:
(1)(3)+(2.2)(4)=11.80
Therefore, the cost of 3 tacos and 4 burritos is $11.80.
Cost of 1 taco: x Cost of 1 burrito: y
Equation 1: 3x+2y=7.40 Equation 2: 4x+y= 6.45
To solve for x and y, we can use elimination.
Multiply the top equation by -1:
-3x-2y=-7.40
Add this equation to the bottom equation:
x-y=-1
Divide both sides by 1 to solve for x:
x=1
Substitute 1 for x in the top equation:
3(1)+2y=7.40
3+2y=7.40
2y=4.40
y=2.20
Therefore: Cost of 1 taco: 1 Cost of 1 burrito: 2.20
To calculate the cost of 3 tacos and 4 burritos:
(1)(3)+(2.2)(4)=11.80
Therefore, the cost of 3 tacos and 4 burritos is $11.80.