Question 415235
Problem Number 1:


A toy company spends $1500 each day for factory expenses plus $8 per teddy bear. If the company sells the bear for $12.00 each, how many bears must it sell in on day to equal it's daily cost? 


x = number of teddy bears sold per day.


x * 12 = revenue from teddy bears per day.


cost to build x teddy bears is equal to 1500 + 8*x


The revenue must equal the cost to break even.


revenue = 12*x
cost = 1500 + 8*x


Set them equal to each other to get:


12*x = 1500 + 8*x


subtract 8*x from both sides of the equation to get:


4*x = 1500


divide both sides of the equation by 4 to get:


x = 375.


They have to sell 375 teddy bears each day in order to break even.


their revenue will be 12 * 375 = 4500


Problem Number 2:


Solve the following problem. Include your work by showing steps you took to solve it or explain in words what you did.
If consecutive integers are defined as n, n+1, etc., How would consecutive EVEN integers be defined?
Problem: The sum of four consecutive even integers is 308. Write & solve an equation to find the four integers. 


Consecutive even numbers would be n, n+2, n+4, etc.


n + n + 2 + n + 4 + n + 6 = 308


combine like terms to get 4n + 12 = 308


subtract 12 from both sides of the equation to get 4n = 296


divide both sides of the equation by 4 to get n = 74


the numbers are:


74 + 76 + 78 + 80 = 308