Question

Tom, Emma, Robin, and Mary earn an average weekly salary of

Answer 1

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  $\frac{4}{5}$ 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  $\frac{4}{5}$ of Mary's

∴ Emma's salary = $\frac{4}{5}$ × 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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