Question

Every year Samatha receives a $50 dollar bonus. She also receives $5 For every year that she has been working. Emily receives a $40 bonus She also receives $10 for every year that she has been working. In 2018 , Samatha worked for 6 years and Emily worked for 2 years. In what year will they both receive the same amount of money?

Answer 1

Year 2022

Explanation:

Let number of years = x

Samantha :

Bonus + yearly earning

50 + 5x

Emily :

40 + 10x

Curent earning in 2018:

Years worked by Samantha = 6

50 + 5(6) = 50 + 30 = 80

Years worked by Emily = 2

40 + 10(2) = 60

Year when they'll both receive same amount :

80 + 5x = 60 + 10x

5x - 10x = 60 - 80

-5x = - 20

x = 20/5

x = 4 ; x = 4 years

2018 + 4 = 2022