Leticia charges $8 per hour to babysit. She babysat Friday night for 4 hours, and then she babysat again on Saturday. She earned a total of $72. How many hours did Leticia babysit on Saturday?
Choose two answers: one for the equation that models this situation and one for the correct answer.
A. Equation: [tex]8(4+x)=72[/tex]
B. Equation: [tex]4(8+x)=72[/tex]
C. Answer: 5 hours
D. Answer: 11 hours
Answer (1)
Calculate Leticia's earnings on Friday: $8 \times 4 = $32.
Calculate Leticia's earnings on Saturday: $72 - $32 = $40.
Calculate the number of hours Leticia babysat on Saturday: $\frac{$40}{ 8} = 5 hours.
The equation that models the situation is 8 ( 4 + x ) = 72 . The number of hours Leticia babysat on Saturday is 5 hours.
Explanation
Understanding the Problem Let's break down this problem step by step to make sure we understand it completely!
Calculating Friday's Earnings First, we know Leticia earns $8 for every hour she babysits. On Friday, she worked for 4 hours. So, to find out how much she earned on Friday, we multiply her hourly rate by the number of hours she worked: 8 dollars/hour × 4 hours = 32 dollars So, Leticia earned $32 on Friday.
Calculating Saturday's Earnings We also know that Leticia earned a total of $72. To find out how much she earned on Saturday, we subtract her Friday earnings from her total earnings: 72 dollars − 32 dollars = 40 dollars So, Leticia earned $40 on Saturday.
Calculating Saturday's Hours Now, to find out how many hours Leticia babysat on Saturday, we divide her Saturday earnings by her hourly rate: 8 dollars/hour 40 dollars = 5 hours So, Leticia babysat for 5 hours on Saturday.
Finding the Equation To model this situation with an equation, let x be the number of hours Leticia babysat on Saturday. Her total earnings can be represented as the sum of her Friday earnings and her Saturday earnings: 8 × 4 + 8 × x = 72 This can be simplified to: 32 + 8 x = 72 Or, we can factor out the 8: 8 ( 4 + x ) = 72 So, the equation that models this situation is 8 ( 4 + x ) = 72 .
Final Answer Therefore, the equation that models this situation is 8 ( 4 + x ) = 72 , which corresponds to option A, and the number of hours Leticia babysat on Saturday is 5 hours, which corresponds to option C.
Examples
Imagine you're planning a bake sale to raise money for a school trip. You need to figure out how many cookies you need to sell to reach your fundraising goal. If you know how much each cookie costs and how much money you've already raised, you can use a similar equation to determine the number of cookies you still need to sell. This kind of problem-solving helps in budgeting and planning, ensuring you meet your financial targets effectively.
