Question

I NEED HELP PRONTO!! THIS IS FOR A MIDTERM!!!!

The Johnson and Sloan families went to Taco Mania for lunch. The Johnsons bought 3 burrito meals and 4 taco meals for $48. The Sloans bought 6 burrito meals and 2 taco meals for $60. How much does each meal cost?

Answer 1

Tacos-6

Burritos-8

Explanation:

Multiply the first equation by -2,and multiply the second equation by 1.

−2(3b+4t=48)

1(6b+2t=60)

Becomes:

−6b−8t=−96

6b+2t=60

Add these equations to eliminate b:

−6t=−36

Then solve−6t=−36for t:

−6t=−36

−6t

−6

=

−36

−6

(Divide both sides by -6)

t=6

Now that we've found t let's plug it back in to solve for b.

Write down an original equation:

3b+4t=48

Substitute6fortin3b+4t=48:

3b+(4)(6)=48

3b+24=48(Simplify both sides of the equation)

3b+24+−24=48+−24(Add -24 to both sides)

3b=24

3b

3

=

24

3

(Divide both sides by 3)

b=8

Answer:

b=8 and t=6

Answer 2

Each burrito meal cost 8$

Each taco meal cost 6$

Explanation:

Johnsons= 3b +4t =48

Sloans= 6b+2t=60

multiple johnsons by -2

so, now the johnsons are -6b+-8t=-96

add that to the sloans so, -6b+6b-8t+2t=-96+60

the b's cancel eachother out, so you are left with -6t= -36

divide each side by -6 and you will get t=6

then you can pick either formula, lets say sloans this time

so, 6b + 2(6)=60 so, 6b+12=60, subtract 12 from each side, to get 48

so 6b=48, divde each side by 6 and you will get b=8

Explanation: