Question 1
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
You buy clothing at a sale. You buy sneakers at
2
3
of their original price of $60, a sweater at
7
10
of its original price of $35, and a jacket at
5
6
of its original price of $45. Answer each question and show all your work.
How much money did you spend?
How much money did you save?
What fraction of the total original price did you save
Question 2
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A teacher brings 3 gallons of juice on a field trip. There are 36 students on the trip.
How many fluid ounces of juice does the teacher bring? Show your work.
Does the teacher have enough juice to give each student a 12-fluid ounce glass of juice? Explain.
Learn how to type fractions!
2/3 of 60 = 40
7/10 of 35 = 24.50
5/6 * 45 = 37.50
3gal * 128floz/gal = 384 floz
she will need 36*12 floz for the students
Thanks
Answer 1:
To find out how much money you spent, we need to calculate the cost of each item.
The original price of sneakers is $60. You bought them at 2/3 of the original price, so the cost of sneakers is (2/3) * $60 = $40.
The original price of the sweater is $35. You bought it at 7/10 of the original price, so the cost of the sweater is (7/10) * $35 = $24.50.
The original price of the jacket is $45. You bought it at 5/6 of the original price, so the cost of the jacket is (5/6) * $45 = $37.50.
To find out the total money spent, add up the costs of all the items: $40 + $24.50 + $37.50 = $102.
Therefore, you spent $102.
To find out how much money you saved, we need to calculate the difference between the original prices and the prices you paid for each item.
You saved on sneakers: $60 - $40 = $20.
You saved on the sweater: $35 - $24.50 = $10.50.
You saved on the jacket: $45 - $37.50 = $7.50.
To find out the total money saved, add up the savings on all the items: $20 + $10.50 + $7.50 = $38.
Therefore, you saved $38.
To find out what fraction of the total original price you saved, we need to calculate the total original price and the total money saved.
The original price of sneakers is $60.
The original price of the sweater is $35.
The original price of the jacket is $45.
To find the total original price, add up the prices of all the items: $60 + $35 + $45 = $140.
The fraction of the total original price saved is the total money saved divided by the total original price: $38 / $140.
Therefore, the fraction of the total original price that you saved is 19/70.
Answer 2:
1 gallon = 128 fluid ounces.
So, 3 gallons = 3 * 128 = 384 fluid ounces.
The teacher has 384 fluid ounces of juice.
To find out if the teacher has enough juice to give each student a 12-fluid ounce glass of juice, we need to see if the total amount of juice is enough for all the students.
There are 36 students on the trip. Each student needs a 12-fluid ounce glass of juice.
The total juice required is 36 * 12 = 432 fluid ounces.
Since the teacher has 384 fluid ounces of juice, he/she does not have enough juice to give each student a 12-fluid ounce glass of juice.
Therefore, the teacher does not have enough juice for every student.
Question 1:
To find out how much money you spent, you need to calculate the total cost of the sneakers, sweater, and jacket.
The price of the sneakers is 2/3 of their original price of $60:
2/3 * $60 = $40.
The price of the sweater is 7/10 of its original price of $35:
7/10 * $35 = $24.50.
The price of the jacket is 5/6 of its original price of $45:
5/6 * $45 = $37.50.
Now, add up the prices of the sneakers, sweater, and jacket to find the total money spent:
$40 + $24.50 + $37.50 = $102.
Therefore, you spent $102.
To find out how much money you saved, you need to calculate the difference between the original prices and the prices you paid for each item.
For the sneakers:
Original price = $60
Price paid = $40
Savings = Original price - Price paid
Savings = $60 - $40 = $20
For the sweater:
Original price = $35
Price paid = $24.50
Savings = Original price - Price paid
Savings = $35 - $24.50 = $10.50
For the jacket:
Original price = $45
Price paid = $37.50
Savings = Original price - Price paid
Savings = $45 - $37.50 = $7.50
Now, add up the savings for each item to find the total money saved:
$20 + $10.50 + $7.50 = $38.
Therefore, you saved $38.
To find out what fraction of the total original price you saved, you need to calculate the ratio of the total savings to the total original price.
The total original price is the sum of the original prices of the items:
$60 + $35 + $45 = $140.
The fraction of the total original price saved is the savings divided by the total original price:
Fraction saved = Total savings / Total original price
Fraction saved = $38 / $140
Fraction saved = 19/70.
Therefore, you saved 19/70 of the total original price.
Question 2:
To find out how many fluid ounces of juice the teacher brings, you need to convert gallons to fluid ounces.
1 gallon is equal to 128 fluid ounces, so 3 gallons is equal to 3 * 128 = 384 fluid ounces.
Therefore, the teacher brings 384 fluid ounces of juice.
To determine if the teacher has enough juice to give each student a 12-fluid ounce glass of juice, you need to compare the amount of juice brought by the teacher to the total amount of juice needed.
The number of students is 36, and each student needs a 12-fluid ounce glass of juice. So the total amount of juice needed is 36 * 12 = 432 fluid ounces.
Since the teacher only brings 384 fluid ounces of juice, which is less than 432 fluid ounces needed, the teacher does not have enough juice to give each student a 12-fluid ounce glass of juice.
Therefore, the teacher does not have enough juice.