If x people working together make a total of y dollars after an hour of work, how much money will z people make if they work 4 hours at the same rate per person ?
a. 4xyz
b. xy + 4z
c. 4yz/x
d. 4xy/z
e. xyz/4
please answer and explain
Well, let's break down the problem, shall we?
If x people working together make a total of y dollars after an hour of work, that means that each person earns y/x dollars per hour.
Now, if z people were to work for 4 hours at the same rate per person, they would each earn y/x dollars per hour multiplied by 4 hours.
Therefore, the total amount of money they would make is (y/x) * 4.
If we simplify this expression, we get 4y/x.
So, the correct answer is option c) 4yz/x.
Why? Because option c) 4yz/x represents the total amount of money z people would make if they worked 4 hours at the same rate per person.
The x people get paid at a rate of y/x dol/(hr*person) each
so, z people for 4 hours make
y/x dol/(hr*person) * (4 hour) * (z person) = 4yz/x dollars
or, (C)
To find out how much money z people will make if they work for 4 hours at the same rate per person, we can set up a proportion using the given information.
The rate of work per person is y/x dollars per hour.
So, in one hour, x people make y dollars.
To find out how much money z people will make in 4 hours, we can multiply the rate by 4, and the number of people by z.
Money made by z people in 4 hours = (y/x) * 4z
Simplifying this expression, we get:
Money made by z people in 4 hours = (4yz)/x
Therefore, the correct answer is option c. 4yz/x.
To solve this problem, we can use the concept of ratios.
Given that x people working together make a total of y dollars after an hour of work, we can say that the rate at which they earn money is y/x dollars per person per hour.
Now, we want to calculate how much money z people will make if they work for 4 hours at the same rate.
To find the total amount of money earned by z people in 4 hours, we can multiply the rate per person per hour (y/x) by the number of people (z) and the number of hours (4).
Therefore, the final equation would be:
Total money earned = (y/x) * z * 4
Simplifying this equation further, we get:
Total money earned = (4yz)/x
So, the correct answer is option c. 4yz/x.