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 $10 per week, your friend’s allowance is $20 per week, and your friend receives a $0.40 raise.
To determine if 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, we need to consider the following factors: hourly wage, number of hours worked, and weekly allowance.
Situation 1:
Your hourly wage: $9.75
Your friend's hourly wage: $9.35
Your allowance: $10 per week
Your friend's allowance: $20 per week
In this situation, your friend's weekly allowance is higher than yours. To earn the same total amount in a given week, your friend would need to work more hours than you, due to the lower hourly wage. This means it is not possible for you and your friend to work the same number of hours and earn the same total amount.
Situation 2:
Your hourly wage: $9.75
Your friend's hourly wage (after raise): $9.75 + $0.40 = $10.15
Your allowance: $10 per week
Your friend's allowance: $20 per week
In this situation, both you and your friend have the same hourly wage and allowances. Therefore, 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.
In conclusion, 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 only in Situation 2.