Write a word problem that can be solved using a system of two linear equations. solve the problem and give the meaning of the answer.

Fritz wants to get a job to save up money for college, he has two options:

Mr. Smith's Bakery or Samantha's  Ice Cream Shop

Mr. Smith's Bakery is close to Fritz's house so he can walk to it, it pays $8.00 per hour.  Samantha's  Ice Cream Shop is a bit farther away so Fritz has to pay $4 for bus fare every day, the pay is $10.00 per hour.

How long would Fritz have to work at Samantha's Ice Cream Shop to get the same amount at Mr. Smith's Bakery?

In this system, x is the number of hours worked and y is the total amount earned.

Bakery: y = 8x

Ice Cream: y = 10x-4

Solve for x using substitution

8x=10x-4

2x=4

x=2,  This means that it will take 2 hours of work to get the same amount of pay.