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Tom's weekly salary is $155
Step-by-step explanation:
The given is:
- 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
of Mary's
We need to find Tom's weekly salary
∵ Average average salary = total salaries ÷ number of person
∵ Tom, Emma, Robin, and Mary earn an average weekly salary of
$170 per person
∴ The average = 170 and the number of person = 4
∴ 170 = total salaries of them ÷ 4
- Multiply to sides by 4
∴ 680 = total salaries of them
∴ The total salaries of Tom, Emma, Robin and Mary = $680
∵ Tom, Emma, and Robin earn an average weekly salary of
$160 per person
∴ The average = 160 and the number of person = 3
∴ 140 = total salaries of them ÷ 3
- Multiply to sides by 3
∴ 480 = total salaries of them
∴ The total salaries of Tom, Emma, and Robin = $480
The difference between the 2 total salaries above is the Mary's salary
∴ Mary's salary = 680 - 480 = 200
∴ Mary's salary is $200 per week
∵ Emma's salary is of Mary's
∴ Emma's salary = × 200 = 160
∴ Emma's salary is $160 per week
∵ Robin makes $5 more per week than Mary
∴ Robin's salary = 160 + 5 = 165
∴ Robin's salary is $165 per week
Subtract from the total salaries of Tom, Emma, and Robin the salaries of Emma and Robin to find the salary of Tom
∵ The sum of the salaries of Tom, Emma and Robin = $480
∴ Tom's salary = 480 - 160 - 165 = 155
∴ Tom's salary is $155 per week
Tom's weekly salary is $155
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