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harkovskaia [24]
3 years ago
10

A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of ​$28. Opti

on B is a commission rate of ​8% on weekly sales. How much does he need to sell this week to earn the same amount with the two​ options?
Mathematics
2 answers:
irina [24]3 years ago
8 0

Answer:

$9500

Step-by-step explanation:

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week= 19 X 40 = $760

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, 8x/100= 760

Or, 8x= 76000

Or, x= 76000/8= 9,500

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Alchen [17]3 years ago
5 0

Answer:

14,000

Step-by-step explanation:

14,000

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ALGEBRA 1 HELP!! Andrea buys 4 bags of granola and 3 bags of dried fruit. She spends $51.50. Carter buys 2 bags of granola and 4
timurjin [86]

Answer:

Granola is $6.95/bag and Dried Fruit is $7.90/bag.

Step-by-step explanation:

Let G and F stand for the cost of 1 bag Granola and 1 bag dried Fruit.

We learn that Andrea's total was $51.50.  Her purchase can be written as the sum of the cost of 4 bags granola (4G) and 3 bags fruit (3F):

   4G + 3F = $51.50

We can do the same for Carter:

   2G + 4F = $45.50

We have two equations and two unknowns, so we should be able to solve for both unknowns.  To do this, we need to find a way to eliminate one of the unknows in a single equation.  Let's rearrange Carter's equation to isolate G on one side:

2G + 4F = $45.50

2G  = $45.50 - 4F

G = ($45.50 - 4F)/2

Now use this expression for G in Andrea's equation:

4G + 3F = $51.50

4(($45.50 - 4F)/2) + 3F = $51.50

2($45.50 - 4F) + 3F = $51.50

($91.00 - 8F) + 3F = $51.50

-5F = - $39.5

F = $7.90  <u>One bag of dried fruit is $7.90.</u>

Now use this value for F in either equation for find G:

2G  = $45.50 - 4F

2G  = $45.50 - 4($7.90)

2G = $13.90

G = $6.95   <u>One bag of granola is $6.95</u>

---------------

Check to see if these values work:

<u>Andrea: </u>

4G + 3F = $51.50  :

4($6.95) + 3($7.90) = $51.50  ?

$51.50 = $51.50   <u>YES</u>

<u>Carter:</u>

2G + 4F = $45.50

2($6.95) + 4($7.90) = $45.50  ?

$45.50                     =  $45.50   <u>YES</u>

<u></u>

4 0
3 years ago
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