A local hamburger shop sold a combined total of 711 hamburgers and cheeseburgers on Tuesday. There were 61 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Tuesday?

325 Hamburgers.

Step-by-step explanation:

This may seem complicated at first due to us not knowing how much either hamburgers or cheeseburgers were sold, but we can easily set up an equation with variables and solve this using the numbers provided.

x = # of hamburgers sold.

x + 61 = # of cheeseburgers sold.

1) x + x + 61 = 711 (set both burgers equal to the total sold)

2) 2x + 61 = 711 (added common variables together)

3) 2x = 650 (negated the +61, subtracted it from both sides)

4) x = 325 (divided both sides by 2)

5) 711 - 325 = 386 (subtracted the x from the total number of burgers sold, to recieve the amount of cheeseburgers' tickets.

Thus,

Since there were fewer hamburgers sold, the smaller number (325) is the correct answer.

(Final Answer)

Cheeseburgers sold: 386

Hamburgers sold: 325

Total sold: 711

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places