you get a $400 base salary for your job selling toasters.you also get a 2% commission on all your sells.if your take home pay for the month is 756.what is your total sales?

Answer 1

Let's call the total sales "x".

First, let's calculate the commission earned:

2% of x = 0.02x

Next, let's calculate the total income:

Total income = Base salary + Commission earned

Total income = 400 + 0.02x

We know that the take-home pay for the month is $756, so:

Total income - Taxes = Take-home pay

We don't know the tax rate, but we can rewrite this equation as:

Total income = Take-home pay + Taxes

400 + 0.02x = 756 + Taxes

Subtracting 400 from both sides:

0.02x = 356 + Taxes

We need another equation to solve for two unknowns. Let's think about the commission earned:

Commission earned = 0.02x

We know that the commission earned is a percentage of total sales, which means:

Commission earned = 0.02x = 2% * Total sales

Substituting in our first equation:

0.02x = 0.02 * Total sales

0.02x = 0.02x

This makes sense - the commission earned should be the same regardless of how we calculate it.

Now we can rewrite our equation with two unknowns like this:

0.02x = 356 + Taxes

0.02 * Total sales = 356 + Taxes

We can solve for Taxes by subtracting 356 from both sides:

Taxes = 0.02 * Total sales - 356

Now we can substitute this back into our equation for Total income:

Total income = 400 + 0.02x

Total income = 400 + 0.02 * Total sales

Total income = 400 + (0.02 * Total sales - 356)

Total income = 44 + 0.02 * Total sales

Setting this equal to the given take-home pay:

44 + 0.02 * Total sales = 756

Subtracting 44 from both sides:

0.02 * Total sales = 712

Dividing both sides by 0.02:

Total sales = 35,600

So the total sales for the month was $35,600.