Jack Reinholt, a car salesman, has a choice of two pay arrangements: a weekly salary of $200 plus 5% commission on sales, or a straight 15% commission. Find the amount of weekly sales for which Jack's earning are the same regardless of the pay arrangement.
Please no answers of "do your own homework." If I exactly understood the question, I wouldn't be asking for help. Any help is apperciated. Thanks!
2006-09-28 03:10:01 · 10 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
$200 + 5% of sales = 15 % of sales
let sales = x
200 + .05x = .15 x
200 = .15x - .05x
200 = .1x
200/.1 = x
2000 = x
If he sells $2000 worth of cars a week, he makes $300 a week either way.
2006-09-28 03:15:17 · answer #1 · answered by Mr. E 5 · 1⤊ 0⤋
Well let's put X as the amount of sales Jack has to do weekly. Then, in the first option, Jack gets 200$ + 5% of X. That is he gets 200+(X*5)/100, because (X*5)/100 is 5% of X.
In the other option, he gets simply 15% of X, which is (X*15)/100. So these will be exactly equal when 200+(X*5)/100 = (X*15)/100. This is a one variable equation for X - the amount of sales. We get then:
200 = (X*15)/100-(X*5)/100 = (X*10)/100 = X/10
So we multiply by 10 and get:
2000 = X
So this is the answer - lets check it now. If Jack sales per week are 2000, then in the first option he gets 200$ + 5% of 2000; 5% of 2000 is 100, so altogether he get 300. In the second payment option, he just get 15% of 2000, which is also 300. hurray.
2006-09-28 10:18:13 · answer #2 · answered by No Mo 2 · 1⤊ 0⤋
$2000.
Think of it this way - the difference between them is $200, against 10% of sales. Therefore, for his weekly salary to be equal in both cases, find 100% i.e. 10% x 10.
If 10% = $200, $200 x 10 = $2000
Hope this helps,
Will
2006-09-28 10:13:07 · answer #3 · answered by Will S 2 · 0⤊ 0⤋
If Jack took the first option, he would get a base of $200 and then when he sold items, he would make 5% of the item's price.
If he took the second option, he would only make 15% of each item's price that he sold.
Let's say that x = an item's price that Jack sold
200 + .05x = .15x
200 = .1x
2000 = x
If an item were $2000, then no matter what option he took, Jack would make the same amount of pay...$300 (if you plug 2000 back in for x).
2006-09-28 10:21:54 · answer #4 · answered by Jessica 2 · 0⤊ 0⤋
2000
2006-09-28 10:18:05 · answer #5 · answered by SprinkleS 3 · 0⤊ 0⤋
You need to determine the amount, X, such that 200 + 0.05X = 0.15X.
Get X to the same side of the equation.
200 = 0.15X – 0.05X
200 = 0.10X
Now divide through by 0.1 to get just X
200/0.10 = 0.10X/0.10
2000 = X
Put back into the original equation to check:
200 + 0.05*2000 = 0.15*2000
200 + 100 = 300
300 = 300
2006-09-28 10:16:23 · answer #6 · answered by john977 2 · 0⤊ 0⤋
To solve any word problem read it 3 times. First reading is for general content (seeing what is given). Second reading is to learn what the problem is asking for (usually the last sentence -- find the amount) Third reading is to extract the information (given) to use to set up an equation. There are usually word clues as to the function you will have to use to solve. (how much MORE = +, how much LESS = -, how many more TIMES) good luck, hon.
2006-09-28 10:22:26 · answer #7 · answered by reynwater 7 · 0⤊ 0⤋
Good Luck!
2006-09-28 10:17:39 · answer #8 · answered by Anonymous · 0⤊ 0⤋
What the hell has that got to do with a WORD problem.
2006-09-28 10:12:54 · answer #9 · answered by Anonymous · 0⤊ 0⤋
$2,000.00
2006-09-28 10:14:45 · answer #10 · answered by Letsee 4 · 0⤊ 0⤋