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de s.15 compare rates word problems tue Uz works as a lifeguard at her community pool and at the beach. On Saturday, she worked at the pool for 6 hours and earned \( \$ 46.50 \). On Sunday, she worked at the beach for 5 hours and eamed \( \$ 46.25 \). How much more per hour did Liz earn at the beach than at the pool? s. per hour

Ask by Gardner Curry. in the United States
Feb 28,2025

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Answer

Liz earned $1.50 more per hour at the beach than at the pool.

Solution

To solve this problem, we need to calculate the hourly rate at both jobs and then find the difference. Step 1: Calculate the pool hourly rate. Liz earned $46.50 for 6 hours at the pool. Pool rate = 46.50 ÷ 6 = $7.75 per hour. Step 2: Calculate the beach hourly rate. Liz earned $46.25 for 5 hours at the beach. Beach rate = 46.25 ÷ 5 = $9.25 per hour. Step 3: Find the difference in hourly rates. Difference = Beach rate − Pool rate = 9.25 − 7.75 = $1.50. Thus, Liz earned $1.50 more per hour at the beach than at the pool.

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To find out how much more Liz earned per hour at the beach than at the pool, we first calculate her hourly rates for both locations. At the pool, she earned \( \frac{46.50}{6} = 7.75 \) dollars per hour. At the beach, her rate was \( \frac{46.25}{5} = 9.25 \) dollars per hour. Now, to find the difference in her earnings per hour, we subtract her pool rate from her beach rate: \( 9.25 - 7.75 = 1.50 \). Therefore, Liz earned \( \$ 1.50 \) more per hour at the beach than at the pool. If you want to ace similar rate problems, always keep track of the units (like hours worked and wages earned) you are using. Establishing a simple formula can help — total earnings divided by hours worked gives hourly rate. And remember, occasionally double-checking your calculations can save you from a common mistake! For further exploration, consider looking into how different professions often pay varying hourly rates based on location and demand. See how these factors interact in other parts of the service industry, and you will gain a better understanding of earnings dynamics across various jobs!

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