A food stand sold hamburgers, ice cream cones, and hot dogs at a football game. Hamburgers were sold for $3.25, ice cream cones were sold for $2.50, and hot dogs were sold for $1.75. The total number of hamburgers, ice cream cones, and hot dogs sold was 104, and the total amount of money from these items was $248.75. If $80.50 was made just from selling hot dogs, how many ice cream cones were sold? i saw someone with the same question but couldn't answer it so here is the correct answer - 27

27 ice cream cones.

Step-by-step explanation:

So if we know that  they made $80.50 from selling hot dogs and each hot dog cost $1.75 then we could find out how many hot dogs were sold by dividing the total amount by the amount per hot dog which is .

80.50/1.75 =  46  Now we know how many hot dogs we sold out of the total of 104 items sold.

Now find the difference between 104 and 46 to find the total number of hamburgers and ice cream cones sold.

104 - 46 = 58  

Now we could write an equation like   x + y = 58 where x is the number of hamburgers sold and y is the number of ice cream cones sold.

In the second step.

We know that the total items sold amounted up to $248.75 and out of that there were $80.50 for hot dog. so we would subtract $80.50 from $248.75 to find the amount of hamburgers and ice cream cones sold together.

248.75 - 80.50 = 168.25  

Now we know each hamburger cost  $3.25  and each ice cream cone cost $2.50 so that also could be represent by the equation  

3.25x + 2.50y = 168.25.    where x is the number of hamburgers sold and y is the number of ice cream sold.

We have two equations so we will solve them

    x + y = 58

3.25x +  2.50y = 168.25   solve both equation by the elimination method.

Multiply the top equation by -3.25 to eliminate the x terms.

-3.25( x + y ) = 58(-3.25)

-3.25x - 3.25y = -188.5

3.25x + 2.50y = 168.25         Now add them.

          -0.75 y = -20.25     divide both sides by -0.75

          y= 27  

Now we know that 27 ice cream cones were sold since y is the number of ice cream cones sold.

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step-by-step explanation: