Dinara's Earnings and Equations

The video tutorial explains how Dinara works two part-time jobs, earning $5 per hour babysitting and $8 per hour scooping ice cream. She made $64 in total over 11 hours. The task is to create a system of linear equations to model this scenario. Variables X and Y represent the hours worked at each job. The equations 5x + 8y = 64 and x + y = 11 are derived. The video evaluates different equation options, concluding that option A is correct.

What are the hourly wages for Dinara's two part-time jobs?

• $7 for babysitting and $6 for scooping ice cream

• $8 for babysitting and $5 for scooping ice cream

• $5 for babysitting and $8 for scooping ice cream

• $6 for babysitting and $7 for scooping ice cream

How much did Dinara earn in total from both jobs in a week?

• $80

• $56

• $72

• $64

What variable is assigned to the hours Dinara worked babysitting?

• Y

• Z

• X

• W

What is the equation representing the total money Dinara earned?

• 5X + 8Y = 72

• 5X + 8Y = 56

• 5X + 8Y = 80

• 5X + 8Y = 64

What is the equation representing the total hours Dinara worked?

• X + Y = 12

• X + Y = 10

• X + Y = 11

• X + Y = 13

Which option correctly represents the system of equations for Dinara's situation?

• 5X + 8Y = 64 and X + Y = 11

• 5X + 8Y = 11 and X + Y = 64

• 5 + X = 64 and 8Y = 11

• 5X = 64 and 8Y = 11

Why is the option '5X + 8Y = 11' incorrect?

• It confuses money with hours

• It uses the wrong variables

• It has incorrect coefficients

• It is missing a variable

Why is the option '5 + X = 64' incorrect?

• It doesn't multiply the hourly rate by hours

• It uses the wrong hourly rate

• It has the wrong total earnings

• It uses the wrong variable

Why is the option '5X = 64 and 8Y = 11' incorrect?

• It doesn't account for both jobs in the total earnings

• It has incorrect total hours

• It uses incorrect hourly rates

• It uses the wrong variables

What is the correct answer for the system of equations?

• Option C: 5 + X = 64 and 8Y = 11

• Option D: 5X = 64 and 8Y = 11

• Option A: 5X + 8Y = 64 and X + Y = 11

• Option B: 5X + 8Y = 11 and X + Y = 64