Question

mrs. fuentes earns a salary of 60,000. ms. williams earns a salary of 51,000. mrs fuentes will receive a salary increase of 1,525 per year , and ms.willams will receive a salary increase of 2,525 per year. which equation can be used to find x, the number of years it will take mrs. fuentes and ms. Williams to earn the same salary

Answer 1

( $2,525 - $1,525)x = $9,000

Explanation:

Data provided:

Salary earned by Mrs. Fuentes = $60,000

Salary earned by Ms. Williams = $51,000

Increase in salary of Mrs Fuentes = $1,525 per year

Increase in salary of Ms Williams = $2,525 per year

since, x is the number of years after which their salary will be equal

Now,

Total salary of Mrs. Fuentes after x years = $60,000 + $1,525x

and,

Total salary of Ms. Williams after x years = $51,000 + $2,525x

also,

when their salaries are equal

$60,000 + $1,525x = $51,000 + $2,525x

or

$2,525x - $1,525x = $60,000 - $51,000

or

( $2,525 - $1,525)x = $9,000