Question
You earn $9.75 per hour at a part-time job. Your friend earns $9.35 per hour at a part-time job. The only other income you and your friend earn is a weekly allowance.
Determine whether it is possible for you and your friend to work the same number of hours and earn the same total amount in a given week for the following situations. Explain your reasoning.
Your allowance is $20 per week and your friend’s allowance is $10 per week.
Determine whether it is possible for you and your friend to work the same number of hours and earn the same total amount in a given week for the following situations. Explain your reasoning.
Your allowance is $20 per week and your friend’s allowance is $10 per week.
Answers
GPT 3.5
In order to determine if it is possible for both you and your friend to work the same number of hours and earn the same total amount in a given week, we need to compare the total earnings from work and allowances for both situations.
For you:
Hourly wage = $9.75
Weekly allowance = $20
For your friend:
Hourly wage = $9.35
Weekly allowance = $10
Let's assume both you and your friend work "x" hours in a given week.
Your total earnings would be: 9.75x + 20
Your friend's total earnings would be: 9.35x + 10
For you and your friend to earn the same total amount, the following equation needs to be true:
9.75x + 20 = 9.35x + 10
Let's solve this equation:
9.75x - 9.35x = 10 - 20
0.4x = -10
x = -10/0.4
x = -25
The solution to this equation is a negative value, which means it is not possible to work a negative number of hours. Therefore, it is not possible for you and your friend to work the same number of hours and earn the same total amount in a given week for the given situations.
For you:
Hourly wage = $9.75
Weekly allowance = $20
For your friend:
Hourly wage = $9.35
Weekly allowance = $10
Let's assume both you and your friend work "x" hours in a given week.
Your total earnings would be: 9.75x + 20
Your friend's total earnings would be: 9.35x + 10
For you and your friend to earn the same total amount, the following equation needs to be true:
9.75x + 20 = 9.35x + 10
Let's solve this equation:
9.75x - 9.35x = 10 - 20
0.4x = -10
x = -10/0.4
x = -25
The solution to this equation is a negative value, which means it is not possible to work a negative number of hours. Therefore, it is not possible for you and your friend to work the same number of hours and earn the same total amount in a given week for the given situations.