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nikklg [1K]
3 years ago
8

A sales associate in a department store earns a commission on each suit and each pair of shoes sold. One week, she earned $47 in

commission for selling three suits and a pair of shoes. The next week, she earned $107 in commission for selling seven suits and two pairs of shoes. How much commission does she earn for selling each suit and each pair of shoes? Solve by substitution.
Mathematics
1 answer:
ahrayia [7]3 years ago
8 0
For this one you have to make the equations. And what I like to do is write it out, like this.One Week- $473 suits 1 shoes (pairs)
Another Week- $1077 suits 2 shoes (pairs)
Then I make/choose my variables.For suits, it's going to be x.And For shoes let's do y.(Or if you would like better you can do x and y, which ever works best for you)
Now for the equations:One Week,   47= 3x +1yAnother Week,   107= 7x + 2y
Now it's time for the Substitution! Your last problem had it easier because it was already in the form, y=mx+b, but since ours aren't we have to change it to y=mx+b.
One Week,  -0.33y + 15.67 =x Another Week,  -0.29y + 15.29 =x
Now you can use substitution. :)For y i got 9.5 or 9.50.For x, i got 12.34
So the answer is (9.5,12.34) or (12.34, 9.5)
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  {-1, 1/2, 2/3, 1}

Step-by-step explanation:

I find a graphing calculator to be a most useful tool for problems like this. (See attached.)

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Please answer A S A P
guajiro [1.7K]

Answer:

1, i) equation for Mike's Repair Shop = $65x + $100

  ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

3.  x = 4  

4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times3 + $40 = $280 and Mike's will cost = $65\times3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times6 + $40 = $520 and Mike's will cost = $65\times6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.

Step-by-step explanation:

i) x = number of hours worked

ii) y = total cost

1, i) equation for Mike's Repair Shop = $65x + $100

  ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

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4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times3 + $40 = $280 and Mike's will cost = $65\times3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times6 + $40 = $520 and Mike's will cost = $65\times6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.

4 0
3 years ago
What should I do ? Where it’s say ‘ start here ‘?
azamat
Solve the question and go on from there like you were already doing.
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