Question

Juan works as a tutor for $7 an hour and as a waiter for $14 an hour. This month, he worked a combined total of 103 hours at his two jobs. Let be the number of hours Juan worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

Answer 1

An expression for the combined total dollar amount he earned this month is $(7x + 14y) where x + y = 103.

Step-by-step explanation:

Let the no. of hours worked as tutor be x

Earning as tutor in 1 hour = $7

Earning as tutor in x hour = $7*x = $7x

Let the no. of hours worked as waiter be y

Earning as waiter in 1 hour = $14

Earning as waiter in y hour = $14*y = $14y

Given that total hours worked in the month = 103 hours

therefore, x + y = 103 ----> (1)

Total amount earned in the month = Earning as tutor in x hour + Earning as waiter in y hour = $(7x + 14y)

An expression for the combined total dollar amount he earned this month is $(7x + 14y) where x + y = 103.