Question
Karen can read 10 pages and complete 15 math problems in 30 minutes. How long will it take her to do her homework if she has 30 pages to read and 45 math problems to complete? Your answer should refer to the amount of time in minutes.(1 point)
give a detailed response
( ) minutes
1. 100
2. 90
3. 2.42
4. 3.2
5. paver 2
wrong, it isnt 180 minutes its actually 90
Apologies for the mistake. You are correct. Karen can complete her homework in 90 minutes, not 180 minutes. Thank you for pointing that out.
do the process again but with 90 as the answer
Apologies for the confusion. Let's go through the process again, and this time the total time will be 90 minutes.
Given:
Total time = 90 minutes
Number of pages = 30 pages
Number of math problems = 45 math problems
To find the time it takes to complete one page of reading and one math problem, we divide the total time by the respective quantities:
Time per page of reading = Total time / Number of pages
Time per math problem = Total time / Number of math problems
Time per page of reading = 90 minutes / 30 pages
= 3 minutes per page
Time per math problem = 90 minutes / 45 math problems
= 2 minutes per math problem
Now we can calculate the total time it will take Karen to do her homework:
Time for reading = Time per page of reading x Number of pages
= 3 minutes per page x 30 pages
= 90 minutes
Time for math problems = Time per math problem x Number of math problems
= 2 minutes per math problem x 45 math problems
= 90 minutes
Therefore, it will take Karen a total of 90 minutes to complete her homework.
Rafael is making punch and needs a gallon of raspberry sorbet and 2 liters of lemon-lime soda to make 12 cups. He pays $3.00 for a 2-liter container of lemon-lime soda and $4.00 for a quart of sorbet. What is the minimum amount he should charge per cup of punch to make a $10 profit? (Remember there are 4 quarts in a gallon.) Your answer should be a dollar amount rounded to the nearest hundredth.(1 point)
To find the minimum amount Rafael should charge per cup of punch to make a $10 profit, we'll calculate the cost per cup and add the desired profit.
First, let's convert the measurements to the same unit:
- 1 gallon of raspberry sorbet = 4 quarts (since there are 4 quarts in a gallon)
- 4 quarts of sorbet = $4.00
- 2 liters of lemon-lime soda = $3.00
Now let's calculate the cost per cup of punch:
Cost of sorbet per cup = $4.00 / 12 cups = $0.33 per cup
Cost of lemon-lime soda per cup = $3.00 / 12 cups = $0.25 per cup
Total cost per cup = Cost of sorbet per cup + Cost of lemon-lime soda per cup
= $0.33 per cup + $0.25 per cup
= $0.58 per cup
To make a $10 profit, we add the desired profit to the cost per cup:
Minimum amount to charge per cup = Cost per cup + Desired profit
= $0.58 per cup + $10.00
= $10.58 per cup
Therefore, Rafael should charge a minimum of $10.58 per cup of punch to make a $10 profit.
wrongg
Apologies for the mistake. Let's recalculate the minimum amount Rafael should charge per cup of punch to make a $10 profit.
First, let's calculate the total cost of the ingredients:
Cost of 1 gallon of raspberry sorbet = $4.00
Cost of 2 liters of lemon-lime soda = $3.00
Next, we'll calculate the total cost of the ingredients needed for 12 cups of punch:
Total cost of sorbet = Cost of 1 gallon of sorbet = $4.00
Total cost of lemon-lime soda = Cost of 2 liters of soda = $3.00
Total cost of ingredients = Total cost of sorbet + Total cost of lemon-lime soda
= $4.00 + $3.00
= $7.00
To make a $10 profit, we'll add the desired profit to the total cost of ingredients:
Total cost of ingredients + Desired profit = $7.00 + $10.00
= $17.00
Now, we'll calculate the cost per cup of punch:
Cost per cup = Total cost / Number of cups
= $17.00 / 12 cups
= $1.42 per cup
Therefore, Rafael should charge a minimum of $1.42 per cup of punch to make a $10 profit.