Answer:
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
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