Question

PLEASE HELP!!
A hair product company sells three types of hair products for $30, $20, and $10 per unit. In 1 year, the total revenue for the three products was $800,000, which corresponded to the sale of 40,000 units. The company sold half as many units of the $30 product as of the $20 product. How many units of each product were sold?

Answer 1

Not really sure where to go from there? @robtobey

Answer 2

well you know that if you let the $20 product = 2a

then the $30 product is a

let the $10 product = b

so set up the equations

revenue

30a + 20(2a) + 10b = 800000

and units

a + 2a + b = 40000

so the simultaneous equations are

70a + 10b = 800000 (1)

3a + b = 40000 (2)

multiply equation (2) by 10 and subtract it from (1)


70a + 10b = 800000
- 30a + 10b = 400000
----------------------
40a = 400000

then a = 10000


so substitute this into equation 2 to find b

30000 + b = 40000

so b = 10000
then the company solve 10000 units of $30, 20000 units of $20 and 10000 units of $10


hope it helps