SOLUTION: 1.Bob earns a 3.5% commission on all sales above $10,000 in any given month. How much must Bob sell in a month in order to earn a commission of $1400? 2. A local store has

Question 1172083: 1.Bob earns a 3.5% commission on all sales above $10,000 in any given month. How much must Bob sell in a month in order to earn a commission of $1400?

2. A local store has two types of hard candy, one that sells for $1.30 per pound, and the other for $0.90 per pound. How much of each type of candy should be used to create 100 lb of a mix that will sell for $1.00 per pound?

Found 2 solutions by Theo, MathTherapy:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
problem number 1:

let x = the total amount sold.
let y = the commission.
you have a split function.
y = 0 when x <= 10,000
y = .035 * (x - 10,000) when x is greater than 10,000.
if he makes 1400 commission, you can assume he sold more than 10,000 worth.
your equation is therefore:
y = .035 * (x - 10,000)
simplify to get:
y = .035 * x - .035 * 10,000
simplify further to get:
y = .035 * x - 350
when y = 1400, the equation becomes:
1400 = .035 * x - 350
add 350 to both sides of the equation to get:
1750 = .035 8 x
solve for x to get:
x = 1750 / .035 = 50,000
if he sells 50,000 worth in sales, he will make 1400 in commission.
it works like this.
he makes 0 commission on sales totaling 10,000.
he makes 3.5% commission on all sales over 10,000.
this becomes 50,000 - 10,000 = 40,000 worth of sales over 10,000.
that gets you .035 * 40,000 = 1400.
solution is confirmed to be good.
he must sell 50,000 in a month in order to earn a commission of 1400 for that month.

Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!

1.Bob earns a 3.5% commission on all sales above $10,000 in any given month. How much must Bob sell in a month in order to earn a commission of $1400?
2. A local store has two types of hard candy, one that sells for $1.30 per pound, and the other for $0.90 per pound. How much of each type of candy should be used to create 100 lb of a mix that will sell for $1.00 per pound?

1. With S being sales, your equation is: .035(S - 10,000) = 1,400
.035S - 350 = 1,400
.035S = 1,750
Sales amount to earn $1,400 in commission, or
OR
With sales above $10,000 being S, we get the following equation: .035S = 1,400
Sales amount above $10,000, or
Now, we add $40,000 to $10,000 to get a total of:
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