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Answer :
Sure, let's go through each problem step by step:
1. If 3 pounds of coffee cost [tex]$12.00, how many pounds can you buy for $[/tex]20.00?
- First, find the cost per pound of coffee. If 3 pounds cost [tex]$12.00, the cost per pound is $[/tex]12.00 divided by 3, which is [tex]$4.00 per pound.
- Next, see how many pounds you can buy for $[/tex]20.00. Divide [tex]$20.00 by the cost per pound: $[/tex]20.00 / [tex]$4.00 = 5 pounds.
- Therefore, you can buy 5 pounds of coffee for $[/tex]20.00.
2. Ron can run 15 miles in 2 hours. If he could run for 6 hours, how many miles would he run?
- Find Ron's running speed in miles per hour. 15 miles in 2 hours means he runs 15 / 2 = 7.5 miles per hour.
- Multiply his speed by the new time to find out how far he can run in 6 hours: 7.5 miles/hour 6 hours = 45 miles.
- So, Ron would run 45 miles in 6 hours.
3. A race car driver can travel 15 miles in 3 minutes. How long would it take the driver to travel 180 miles?
- First, find the time it takes to travel 1 mile in minutes: 3 minutes / 15 miles = 0.2 minutes per mile.
- Then multiply this by 180 miles to find the total time: 180 miles 0.2 minutes/mile = 36 minutes.
- The driver would take 36 minutes to travel 180 miles.
4. You can buy 5 pairs of socks for [tex]$8.00. How much would you spend if you bought 20 pairs of socks?
- First, find the cost per pair of socks: $[/tex]8.00 / 5 pairs = [tex]$1.60 per pair.
- Multiply the cost per pair by 20 pairs: 20 pairs * $[/tex]1.60/pair = [tex]$32.00.
- So, you would spend $[/tex]32.00 to buy 20 pairs of socks.
5. A printer can produce 48 books in 3 hours. How many books can be printed in 8 hours?
- Find the number of books produced per hour: 48 books / 3 hours = 16 books per hour.
- Multiply by 8 hours: 16 books/hour 8 hours = 128 books.
- Therefore, 128 books can be printed in 8 hours.
6. James can wash 2 cars in 45 minutes. How long will it take him to wash 6 cars?
- First, find how long it takes to wash 1 car: 45 minutes / 2 cars = 22.5 minutes per car.
- Multiply by 6 cars: 22.5 minutes/car 6 cars = 135 minutes.
- It would take James 135 minutes to wash 6 cars.
7. Yoli has a business meeting 4 out of 5 days each week. How many meetings will she have in 80 days?
- First, find the number of meetings per day: 4 meetings / 5 days = 0.8 meetings per day.
- Multiply by 80 days: 0.8 meetings/day * 80 days = 64 meetings.
- Yoli will have 64 meetings in 80 days.
I hope this helps clarify how to solve each of these problems using proportions!
1. If 3 pounds of coffee cost [tex]$12.00, how many pounds can you buy for $[/tex]20.00?
- First, find the cost per pound of coffee. If 3 pounds cost [tex]$12.00, the cost per pound is $[/tex]12.00 divided by 3, which is [tex]$4.00 per pound.
- Next, see how many pounds you can buy for $[/tex]20.00. Divide [tex]$20.00 by the cost per pound: $[/tex]20.00 / [tex]$4.00 = 5 pounds.
- Therefore, you can buy 5 pounds of coffee for $[/tex]20.00.
2. Ron can run 15 miles in 2 hours. If he could run for 6 hours, how many miles would he run?
- Find Ron's running speed in miles per hour. 15 miles in 2 hours means he runs 15 / 2 = 7.5 miles per hour.
- Multiply his speed by the new time to find out how far he can run in 6 hours: 7.5 miles/hour 6 hours = 45 miles.
- So, Ron would run 45 miles in 6 hours.
3. A race car driver can travel 15 miles in 3 minutes. How long would it take the driver to travel 180 miles?
- First, find the time it takes to travel 1 mile in minutes: 3 minutes / 15 miles = 0.2 minutes per mile.
- Then multiply this by 180 miles to find the total time: 180 miles 0.2 minutes/mile = 36 minutes.
- The driver would take 36 minutes to travel 180 miles.
4. You can buy 5 pairs of socks for [tex]$8.00. How much would you spend if you bought 20 pairs of socks?
- First, find the cost per pair of socks: $[/tex]8.00 / 5 pairs = [tex]$1.60 per pair.
- Multiply the cost per pair by 20 pairs: 20 pairs * $[/tex]1.60/pair = [tex]$32.00.
- So, you would spend $[/tex]32.00 to buy 20 pairs of socks.
5. A printer can produce 48 books in 3 hours. How many books can be printed in 8 hours?
- Find the number of books produced per hour: 48 books / 3 hours = 16 books per hour.
- Multiply by 8 hours: 16 books/hour 8 hours = 128 books.
- Therefore, 128 books can be printed in 8 hours.
6. James can wash 2 cars in 45 minutes. How long will it take him to wash 6 cars?
- First, find how long it takes to wash 1 car: 45 minutes / 2 cars = 22.5 minutes per car.
- Multiply by 6 cars: 22.5 minutes/car 6 cars = 135 minutes.
- It would take James 135 minutes to wash 6 cars.
7. Yoli has a business meeting 4 out of 5 days each week. How many meetings will she have in 80 days?
- First, find the number of meetings per day: 4 meetings / 5 days = 0.8 meetings per day.
- Multiply by 80 days: 0.8 meetings/day * 80 days = 64 meetings.
- Yoli will have 64 meetings in 80 days.
I hope this helps clarify how to solve each of these problems using proportions!
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