Tom, emma, robin, and mary earn an average weekly salary of
$170 per person. tom, emma, and robin earn an average
weekly salary of $160 per person.
robin makes $5 more per week than mary. emma's salary is
4/5 of mary's. what is tom's weekly salary?

Tom's weekly salary is $115

Step-by-Step Explanation:

Let's name these people weekly salaries as T, E, R, and M.

The average of all of them is 170, we can write that as:

(T + E + R + M)/4 = 170

We have another clue, the average of Tom, Emma and Robin is 160. That would be:

(T + E + R)/3 = 160.

We can solve this if we find out the value of (T + E + R).

Let X be equal to T + E + R.

Going back to our first equation, we have.

(X + M)/4 = 170

X = 680 - M

Good. Now let's replace this value in our second equation.

(680 - M)/3 = 160

680 - M = 480

M = 200

Mary's weekly salary is 200.

Robin's weekly salary is 200+5 = 205.

Emma's weekly salary is 4/5(200) = 160.

And finally, Tom's weekly salary is:

(T + 160 + 205)/3 = 160

T = 480 - 160 - 205

T = 115

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

45

step-by-step explanation:

30+15