Question

At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $120. At the same place it would cost $164.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola?

Answer 1

At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $120. At the same place it would cost $164.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola?

$32.90 cost for 1 burger, 1 shake and 1 cola

Step-by-step explanation:

From the analogy above,

if 4 burgers, 10 shakes and 1 cola= 15 goods cost $164.50 then,

1 burger, shake and a cola= 3 goods will cost ?

164.50 X 3/15=$32.90

Answer 2

It will cost $31 for a meal of one burger, one shake, and one cola

Step-by-step explanation:

Let

B = Burgers

S = shakes

C = cola

Now,

According to the question

3B + 7S + 1C = 120 .............(i)

and

4B + 10S + 1C = 164.50 .............(ii)

Subtracting (i) from (ii)

we get

B + 3S = 44.50

Multiplying the above equation with 2

we have

2B + 6S = 89 ................(iii)

also,

we ca write the equation (1) as

( B + 2B ) + ( 6S + S ) + C = 120

or

B + (2B + 6S) + S + C = 120

substituting the value from equation (iii)

we get

B + 89 + S + C = 120

or

B + S + C = 120 - 89

or

B + S + C = 31

Hence,

It will cost $31 for a meal of one burger, one shake, and one cola