Asked by Carmen DeWinter
A number is 5/8 greater than another number. Twice the sum of the numbers is equal to 22 1/4. What is the number?
Answers
Answered by
GPT 3.5
Let's say the first number is x.
The second number is then 5/8 greater than x, which is x + (5/8)x = (13/8)x.
The sum of the two numbers is x + (13/8)x = (21/8)x.
Twice this sum is equal to 22 1/4, or (45/2), so we have 2 * (21/8)x = (45/2).
Multiplying both sides by 8/21, we get (8/21) * 2 * (21/8)x = (45/2) * (8/21).
This simplifies to 2x = 4 * 45/2.
Simplifying further, we have 2x = 90.
Dividing both sides by 2, we get x = 90/2 = <<90/2=45>>45.
So the number is 45.
The second number is then 5/8 greater than x, which is x + (5/8)x = (13/8)x.
The sum of the two numbers is x + (13/8)x = (21/8)x.
Twice this sum is equal to 22 1/4, or (45/2), so we have 2 * (21/8)x = (45/2).
Multiplying both sides by 8/21, we get (8/21) * 2 * (21/8)x = (45/2) * (8/21).
This simplifies to 2x = 4 * 45/2.
Simplifying further, we have 2x = 90.
Dividing both sides by 2, we get x = 90/2 = <<90/2=45>>45.
So the number is 45.
Answered by
Carmen DeWinter
NO!
Answered by
GPT 3.5
I'm sorry if my previous response was incorrect. Let's go through the problem again.
Let's say the first number is x.
The second number is then (5/8)x greater than x, which is x + (5/8)x = (13/8)x.
The sum of the two numbers is x + (13/8)x = (21/8)x.
Twice this sum is equal to 22 1/4, or (89/4):
2 * (21/8)x = 89/4.
Multiply both sides by (8/21):
2 * (21/8) * (8/21)x = (89/4) * (8/21).
This simplifies to 2x = (89/4 * 8/21) = 4.19047619047619.
Dividing both sides by 2, we get x = 4.19047619047619 / 2 = 2.0952380952380953.
So the number is approximately 2.095.
Let's say the first number is x.
The second number is then (5/8)x greater than x, which is x + (5/8)x = (13/8)x.
The sum of the two numbers is x + (13/8)x = (21/8)x.
Twice this sum is equal to 22 1/4, or (89/4):
2 * (21/8)x = 89/4.
Multiply both sides by (8/21):
2 * (21/8) * (8/21)x = (89/4) * (8/21).
This simplifies to 2x = (89/4 * 8/21) = 4.19047619047619.
Dividing both sides by 2, we get x = 4.19047619047619 / 2 = 2.0952380952380953.
So the number is approximately 2.095.
Answered by
Carmen DeWinter
NO
Answered by
GPT 3.5
I apologize for misunderstanding the question. Let's try again.
Let's call the first number x.
The second number, which is 5/8 greater than the first number, can be represented as x + (5/8)x.
The sum of the numbers is x + (x + (5/8)x) = x + x + (5/8)x = 2x + (5/8)x = (16/8)x + (5/8)x = (21/8)x.
Twice the sum of the numbers is 2 * (21/8)x = (42/8)x = (21/4)x.
We know that this expression is equal to 22 1/4, or (89/4):
(21/4)x = (89/4).
Multiply both sides by 4/21:
(4/21) * (21/4)x = (4/21) * (89/4).
This simplifies to x = 89/21.
Therefore, the first number is 89/21.
Let's call the first number x.
The second number, which is 5/8 greater than the first number, can be represented as x + (5/8)x.
The sum of the numbers is x + (x + (5/8)x) = x + x + (5/8)x = 2x + (5/8)x = (16/8)x + (5/8)x = (21/8)x.
Twice the sum of the numbers is 2 * (21/8)x = (42/8)x = (21/4)x.
We know that this expression is equal to 22 1/4, or (89/4):
(21/4)x = (89/4).
Multiply both sides by 4/21:
(4/21) * (21/4)x = (4/21) * (89/4).
This simplifies to x = 89/21.
Therefore, the first number is 89/21.
Answered by
Carmen DeWinter
4/5 of 40
Answered by
GPT 3.5
To find 4/5 of 40, you multiply 40 by 4/5.
(40) * (4/5) = (160/5) = 32.
Therefore, 4/5 of 40 is 32.
(40) * (4/5) = (160/5) = 32.
Therefore, 4/5 of 40 is 32.
Answered by
Carmen DeWinter
11/18 of 72
Answered by
GPT 3.5
To find 11/18 of 72, you multiply 72 by 11/18.
(72) * (11/18) = (792/18) = 44.
Therefore, 11/18 of 72 is 44.
(72) * (11/18) = (792/18) = 44.
Therefore, 11/18 of 72 is 44.
Answered by
Carmen DeWinter
28.4 of 12
Answered by
GPT 3.5
To find 28.4% of 12, you multiply 12 by 28.4/100.
(12) * (28.4/100) = 3.408.
Therefore, 28.4% of 12 is approximately 3.408.
(12) * (28.4/100) = 3.408.
Therefore, 28.4% of 12 is approximately 3.408.
Answered by
Carmen DeWinter
14.5 of 11.2
Answered by
GPT 3.5
To find 14.5% of 11.2, you multiply 11.2 by 14.5/100.
(11.2) * (14.5/100) = 1.624.
Therefore, 14.5% of 11.2 is approximately 1.624.
(11.2) * (14.5/100) = 1.624.
Therefore, 14.5% of 11.2 is approximately 1.624.
Answered by
Carmen DeWinter
3/8 of 144
Answered by
GPT 3.5
To find 3/8 of 144, you multiply 144 by 3/8.
(144) * (3/8) = (432/8) = 54.
Therefore, 3/8 of 144 is 54.
(144) * (3/8) = (432/8) = 54.
Therefore, 3/8 of 144 is 54.
Answered by
Carmen DeWinter
2.05 of 5
Answered by
GPT 3.5
To find 2.05% of 5, you multiply 5 by 2.05/100.
(5) * (2.05/100) = 0.1025.
Therefore, 2.05% of 5 is approximately 0.1025.
(5) * (2.05/100) = 0.1025.
Therefore, 2.05% of 5 is approximately 0.1025.
Answered by
Carmen DeWinter
0.65 of x=49.4
Answered by
GPT 3.5
To find the value of x, we need to solve the equation 0.65 * x = 49.4.
Dividing both sides of the equation by 0.65, we have:
x = 49.4 / 0.65 = 76.
Therefore, the value of x is 76.
Dividing both sides of the equation by 0.65, we have:
x = 49.4 / 0.65 = 76.
Therefore, the value of x is 76.
Answered by
Carmen DeWinter
1.2 of 18
Answered by
GPT 3.5
To find 1.2% of 18, you multiply 18 by 1.2/100.
(18) * (1.2/100) = 0.216.
Therefore, 1.2% of 18 is approximately 0.216.
(18) * (1.2/100) = 0.216.
Therefore, 1.2% of 18 is approximately 0.216.
Answered by
Carmen DeWinter
WRONG!
Answered by
GPT 3.5
I apologize for the incorrect response.
To find 1.2% of 18, you multiply 18 by 1.2/100.
(18) * (1.2/100) = 0.216.
Therefore, 1.2% of 18 is approximately 0.216.
To find 1.2% of 18, you multiply 18 by 1.2/100.
(18) * (1.2/100) = 0.216.
Therefore, 1.2% of 18 is approximately 0.216.
Answered by
Claire Kalinownski
Hi. Do you know what I can make for breakfast? I like, need something that isn't pancakes, waffles, yogurt, or oatmeal. Got any ideas?