(1)TOP Electronics is a small business with five employees.The mean(avergae) weekly salary for the five emplyees is $360. If the weekly salaries of four of the employees are $340,$340,$345, and $425, what is the salary if the fifth employee?
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(2)
Ben had twice as many nickels as dimes. Altogether, Ben had $4.20. how many nickels and how many dimes did Ben have?
The average salary is 360; therefore, the five of them make 360 x 5 = ??
Then 340 + 340 + 345 + 425 + xx=??
You know ?? and the other numbers. Solve for xx.
Post your work if you get stuck.
#nickels = n worth 0.05 each.
#dimes = d worth 0.10 each.
#n(0.05)+#d(0.1)=4.20
since #n = 2*#d, substitute into #n
2*#d(0.05) + #d(0.1) = 4.20
Solve for #d, then multiply by 2 to get #n.
Post your work if you get stuck.
For question (1) about the salary of the fifth employee at TOP Electronics:
To find the salary of the fifth employee, we can first calculate the total weekly salary for all five employees. Since the average salary is $360, the total weekly salary for the five employees is $360 multiplied by 5, which equals $1800.
Now, we can subtract the salaries of the four known employees from the total to find the salary of the fifth employee. So, we subtract $340, $340, $345, and $425 from $1800:
$1800 - ($340 + $340 + $345 + $425) = $1800 - $1450 = $350.
Therefore, the salary of the fifth employee is $350.
For question (2) about the number of nickels and dimes that Ben had:
Let's represent the number of dimes as "d" and the number of nickels as "n".
We know that the value of one dime is $0.10, and the value of one nickel is $0.05.
Based on the given information, we have two equations:
1. n(0.05) + d(0.10) = $4.20 (Equation 1)
2. n = 2d (Equation 2)
In Equation 2, we are given that the number of nickels (n) is twice the number of dimes (d). So we can substitute this representation of n into Equation 1:
2d(0.05) + d(0.10) = $4.20
Simplifying this equation, we get:
0.10d + 0.10d = $4.20
0.20d = $4.20
Now, divide both sides of the equation by 0.20 to solve for d:
d = $4.20 / 0.20 = 21
So, Ben had 21 dimes.
Since we know that n = 2d, substitute the value of d into the equation:
n = 2 * 21 = 42
Therefore, Ben had 42 nickels.
Ben had 21 dimes and 42 nickels.