math geniuses!!pls help me!!?

Question

kwame sells snow cones at the county fair. he rents the equipment at $26 a day and spends $0.43 on the ingredients for each snow cone. identify the inequality that represents the nmber of cones kwame must sell to make a profit if the cones are sold for $1.10 each.

pls explain step by step!!

Answer 1

Equipment Rent = $26
Expenses for ingredients = $0.43 / each cone
Sales for cones = $1.10 / each
Let say x = number of cones

To get a profit,
Total expenses < Total sales
$26 + $0.43 x < $1.10x
0.67x > 26
x > 38.806

Answer 2

x is the number of cones sold. Each time you sell a cone you get 1.10 and must spend 0.43 in materials. 26 is your fixed cost -- independent of volume x

1.1x-0.43x-26>0

so 0.67x >26 or finally x >38.8. But because you can't have a fraction of a cone you have to sell at least 39 so x>39

Answer 3

Use x to represent the number of sno cones sold in a day

The cost per day is: 26.00 + .43x
The retail price is 1.10x

retail - cost = profit
since you want a positive profit (as opposed to a loss)
the inequallity would by

retail - cost > 0
1.10x - (26 + .43x) > 0
.67x > 26
x > 38.8059...

If kwame sell 39 or more cones there is a profit.

Answer 4

start with the profit of each cone. he sells each for 1.10 at a cost of .43, or makes a profit of .67. then take the $26and divide by the .67 to find the number of cones to break even.

basically x (1.1-.43)=26