Question
This is not a question, but six problems with answers, so please review them. If I have any wrong then please explain how to do it step by the step for the answer and suggest any thing. Thank you tutors.
Solve.
1. Sasha can mow 3/8 of an acre of grass in 45 minutes. How many acres of grass does Sasha mow per hour?
My answer: Sasha can mow 1/2 acre of grass per hour.
2. Ammar hikes 2 3/4 miles of nature trail in 1 hour and 15 minutes. How many miles of trail does Ammar hike per hour?
My answer: Ammar can hike 2 1/5 miles of trail per hour.
3. Melinda paints 7/8 of a wall in 1 1/6 hours. what part of a wall does Melinda paint in 1 minute?
My answer: Malinda paints 3/4 part of a wall in 1 minute.
4. There is 1/4 ounce of yeast in every 2 1/4 teaspoons of yeast. A recipe for bread calls for 2 teaspoons of yeast. How many ounces of yeast are needed for this recipe?
My answer: 2/8 oz of yeast are needed for this recipe
5. Every 5 1/2 cups of flour weighs 1 9/16 pounds. Use a unit rate to show how you could determine if there are more than or less than 35 cups of flour in a 10-pound bag of flour.
My answer: Unit rate: 3 13/25 cups of flour per pound. Multiply by 10 to see the amount of cups in a 10-pound bag of flour.
6. One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which tank is filling faster? Explain how you know.
My answer: The first tank is filling faster. How I know this is because the unit rate for the first tank is 25/28 gallon per hour and the second is 5/6 gallon per hour and 25/28 as a decimal is .89 rounded while the second as a decimal is .83 rounded. The rates are being compared so they should be the same so I chose unit rate as the second quantity because both second quantities being compared need to be the same.
Thank you for sparing your time to review my work.
Solve.
1. Sasha can mow 3/8 of an acre of grass in 45 minutes. How many acres of grass does Sasha mow per hour?
My answer: Sasha can mow 1/2 acre of grass per hour.
2. Ammar hikes 2 3/4 miles of nature trail in 1 hour and 15 minutes. How many miles of trail does Ammar hike per hour?
My answer: Ammar can hike 2 1/5 miles of trail per hour.
3. Melinda paints 7/8 of a wall in 1 1/6 hours. what part of a wall does Melinda paint in 1 minute?
My answer: Malinda paints 3/4 part of a wall in 1 minute.
4. There is 1/4 ounce of yeast in every 2 1/4 teaspoons of yeast. A recipe for bread calls for 2 teaspoons of yeast. How many ounces of yeast are needed for this recipe?
My answer: 2/8 oz of yeast are needed for this recipe
5. Every 5 1/2 cups of flour weighs 1 9/16 pounds. Use a unit rate to show how you could determine if there are more than or less than 35 cups of flour in a 10-pound bag of flour.
My answer: Unit rate: 3 13/25 cups of flour per pound. Multiply by 10 to see the amount of cups in a 10-pound bag of flour.
6. One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which tank is filling faster? Explain how you know.
My answer: The first tank is filling faster. How I know this is because the unit rate for the first tank is 25/28 gallon per hour and the second is 5/6 gallon per hour and 25/28 as a decimal is .89 rounded while the second as a decimal is .83 rounded. The rates are being compared so they should be the same so I chose unit rate as the second quantity because both second quantities being compared need to be the same.
Thank you for sparing your time to review my work.
Answers
bobpursley
3 and 4 are wrong
Reiny
#3 probably contains a typo, and it must have asked for the rate per hour, not per minute
She did paint 3/4 of the wall in 1 HOUR.
#4, check your calculation, you are close.
You did multiply your quotient answer by 2 ??
She did paint 3/4 of the wall in 1 HOUR.
#4, check your calculation, you are close.
You did multiply your quotient answer by 2 ??
anon
For #3 it was asking for per minute, how do I find for per minute ?
#4 Yes, I got 1/9 for the quotient the multiplied by 2. I did that because it was asking for 2 teaspoons and I found the unit rate for only per teaspoon, so having the unit rate I multiplied it by 2. My quotient was 5/45 then I just simplified. I'm still getting 1/9 if I simplify 4/36. Is it just 1/9 ?
#4 Yes, I got 1/9 for the quotient the multiplied by 2. I did that because it was asking for 2 teaspoons and I found the unit rate for only per teaspoon, so having the unit rate I multiplied it by 2. My quotient was 5/45 then I just simplified. I'm still getting 1/9 if I simplify 4/36. Is it just 1/9 ?
Reiny
#4
but you typed 2/8, not 2/9
that is why both me and Bob labeled it incorrect.
yes, the correct answer is 2/9
#3
so we have 3/4 wall in 1 hour
or 3/4 wall in 60 minutes
thus (3/4)÷60 or 1/80 of a wall in 1 minute
but you typed 2/8, not 2/9
that is why both me and Bob labeled it incorrect.
yes, the correct answer is 2/9
#3
so we have 3/4 wall in 1 hour
or 3/4 wall in 60 minutes
thus (3/4)÷60 or 1/80 of a wall in 1 minute
anon
For #4, sorry my bad, looks like I didn't double check my answer.
For #3, thank you very much for the explanation, I understand now. But, in my class just today, the way someone did it was by dividing by 70, I should've asked why. Either way the answer is still 1/80.
Thank you tutor Reiny and bobpursley for checking my work.
For #3, thank you very much for the explanation, I understand now. But, in my class just today, the way someone did it was by dividing by 70, I should've asked why. Either way the answer is still 1/80.
Thank you tutor Reiny and bobpursley for checking my work.
bubby
I think number 3-4 might be wrong