Systems of equation word problem
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Systems of equation word problem

[From: ] [author: ] [Date: 11-10-02] [Hit: ]
-Assuming that your employer does not pay you a delivery commission,Since 4 is a value, you do not need a variable for hours.So,y=9.Substituting y for 9.......
Suppose you have a part-time job delivering packages. Your employer pays yo a flat rate of $9.50 per hour. You discover that a competitor pays employees $2 per hour plus $3 per delivery. How many deliveries would the competitor's employees have to make in four hours to earn the same pay you earn in a four-hour shift?

How would I set up the system of equations for this one?

-
Assuming that your employer does not pay you a delivery commission, you can just plug in the values:

y=your pay
x=deliveries
Since 4 is a value, you do not need a variable for hours.

So, your equations would be:

y=9.50*4
y=2*4+3x

Substituting y for 9.50*4:
9.50*4 = 2*4 + 3x

Simplifying:
38=8+3x

Solving:
30=3x
x=10

Therefore, you need 10 deliveries to get the same pay as the competitor.

-
h = # of hours worked
d = # of deliveries
Employer 1 : 9.50x
Employer 2: 2x + 3d
Find out how much Employer 1 would pay for 4 hours.
Now using the equation for Employee 2, substitute 4 hours in for x and the equation to what Employer 1 would pay for 4 hours.
Step 1: 9.50 * 4 = 38
Step 2: 2* 4 + 3d = 38, solve this equation for d, the number of deliveries needed for each employer to have paid the same amount.

-
LET THE NO OF DELIVERIES BE X

9.50*4 = 2*4 + 3X

38 = 8 +3X

3X = 30

X = 10 ANSWER
1
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