Ramiro earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week Ramiro earned a total of $650. He worked 5 times as many hours during the week as he did on the weekend. Write and solve a system of equations to determined how many hours of overtime Ramiro worked on the weekend.

Question

abbyelsner1999 abbyelsner1999

19-04-2015
Mathematics

Answered

Ramiro earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week Ramiro earned a total of $650. He worked 5 times as many hours during the week as he did on the weekend. Write and solve a system of equations to determined how many hours of overtime Ramiro worked on the weekend.

Answer :

Other Questions

What does the statement "Indirect modification of an overloaded property has no effect" imply in object-oriented programming?A) Modifying a property through a s

A survey asked 92 people how they get to work. Below is the resulting data. What is the relative frequency (to two decimal places) of people who use their car?

Select the correct answer from each drop-down menu.The graph of the function [tex]f(x) = \frac{5}{4} \sin (x) + 1[/tex] is shown. What are the key features of t

The graph of the function [tex]f(x)=(x+2)(x+6)[/tex] is shown below.Which statement about the function is true?A. The function is positive for all real values o

If a person consumes 3000 calories per day, calculate the intake of fat in grams based on dietary fat being 30 percent of caloric intake.

As a woman carries her suitcase up a flight of stairs, she does work against gravity. If the mass of her suitcase is 10 kg and the flight of stairs is 12 m tall

Which property of real numbers is shown below?[tex]\[ -6 + 6 = 0 \][/tex]A. Associative property of addition B. Commutative property of addition C. Identity p

Select the correct branch described in each article of the Constitution.- Article I established the ___ branch.- Article II established the ___ branch.- Article

Construct a [tex]95\%[/tex] confidence interval for a sampling distribution that has a mean of 150, a standard deviation of 20, and a size of 16.

Which of the following is TRUE about keeping an activity log?A. Recording your energy levels on your activity log can help you find your most alert and producti

dzy dzy · Answer 1 · 2015-04-19T17:14:17-04:00

Two key parts of this solution.

1) Set up the right equations. Let's say that x is the number of hours during the weekdays, and y is the number of weekend hours. In each week, Ramiro will earn $20*x for his work on weekdays and $30*y for his work on weekends. The second sentence tells us that in this week, the total is $650. So, our first equation is:

20x + 30y = 650

The third sentence tells us that x is 5 times as many hours as y. In other words:

x = 5y

2) Solve for one of the variables. Now that you have 2 equations with 2 variables, you can manipulate the equations to cancel out one variable and solve for the other. Since the question asks for the number of weekend hours, let's solve for y.

Here, it's easier to just substitute x in the original equation. If you put 5y in place of x, the equation becomes:

(20*5y) + 30y = 650
expand -->
100y + 30y = 650
add -->
130y = 650
divide both sides by 10 -->
13y = 65
divide both sides by 13 -->
y = 5

So, Ramiro worked 5 hours on the weekend (and therefore, 25 during the week).