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# Algebra 2 mathwork

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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!

Oct 12, 2023

#1
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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.

Oct 12, 2023

#1
+624
+1

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.

bingboy Oct 12, 2023