On tuesday, a local hamburger shop sold a combined total of 336 hamburgers and cheeseburgers. the number of cheeseburgers sold was three times the number or hamburgers sold. how many hamburgers were sold on tuesday?

84 hamburgers!

(and 252 cheeseburgers -optional-)

Step-by-step explanation:

Write the following equations based on the problem:

H+C=336 <-- "combined total of 336"

C=3H <-- "the no. of Cheeseburgers sold was three times the no. of hamburgers"

1) Substitute 3H as C in the 1st equation:

H+3H=336

2) Combine alike terms:

4H=336

3) Divide both sides by 4:

H=84

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8