1. Find two numbers whose sum is 84 and one number is 18 more than the other.
Answer: 84-18=2x x=33
84+18=2x x=51
2. A board 125 inches long is to be cut into two equal parts so that one part is 4 inches less than twice as long as the other part. Find the length of each part.
Answer :2x-4=125
3. Connie worked three more than twice as many hours as Gary did. How many hours did Connie work if together they worked 48 hours?
Answer:2x+3*2=48
4. The sum of the ages of Ruth and her Mother is 75 years. The difference in their ages is 29 years. How old is Ruth?
Answer:2x-29=75
5. Yolanda had three times as many nickels as dimes. If the total value of her coins was $1, how many nickels did she have?
Answer:x*3=1.00
6. The sum of $305 was divided among three people so that the second received $4 less than twice as much as the first, and the third received $23 more than the second. How much did each person receive?
This problem, I had no idea were to begin.
1. Find two numbers whose sum is 84 and one number is 18 more than the other.
Answer: 84-18=2x x=33
84+18=2x x=51
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Oh my, you have me confused.
Either you wrote it wrong or you answered it wrong.
x + (x+18) = 84
2 x + 18 = 84
2 x = 66
x = 33
x+18 = 51
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2. A board 125 inches long is to be cut into two equal parts so that one part is 4 inches less than twice as long as the other part. Find the length of each part.
Answer :2x-4=125
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Nonsense - It would be unusual if they were equal and one was 4 inches less than twice the other
x and ( 2x-4)
x + (2x-4) = 125
3 x = 129
x = 43
2x-4 = 82
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3. Connie worked three more than twice as many hours as Gary did. How many hours did Connie work if together they worked 48 hours?
Answer:2x+3*2=48 NO
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Gary x
Connie ( 2 x + 3)
3 x + 3 = 48
3 x = 45
x = 15
connie = 2 x + 3 = 33
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4. The sum of the ages of Ruth and her Mother is 75 years. The difference in their ages is 29 years. How old is Ruth?
Answer:2x-29=75
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These are all the same, you please do some correctly now. x + (x+29)
5. Yolanda had three times as many nickels as dimes. If the total value of her coins was $1, how many nickels did she have?
Answer:x*3=1.00
6. The sum of $305 was divided among three people so that the second received $4 less than twice as much as the first, and the third received $23 more than the second. How much did each person receive?
This problem, I had no idea were to begin.
Well, 6 is a little different:
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6. The sum of $305 was divided among three people so that the second received $4 less than twice as much as the first, and the third received $23 more than the second. How much did each person receive?
first = x
second = 2x-4
third = 2x-4+23 = 2x + 19
x + (2x-4) + (2x+19) = 305
I'm still not exactly sure how to do it but the answer is
1)1st = $58; 2nd = $112; 3rd = $135
<3
<3
<3
:D
To solve the given problem, we can break it down into simpler steps. Let's proceed step by step:
Step 1: Assign variables to represent the unknowns.
Let's say the amount received by the first person is "x" dollars.
The amount received by the second person can be represented as "2x - 4" dollars (since the second person received $4 less than twice the amount received by the first person).
The amount received by the third person is "2x - 4 + 23" dollars (since the third person received $23 more than the second person).
Step 2: Set up an equation based on the given information.
According to the problem statement, the sum of the amounts received by all three people is $305. Therefore, we can write the equation:
x + (2x - 4) + (2x - 4 + 23) = 305
Step 3: Solve the equation.
Now, we can solve the equation to find the value of x, which will give us the amounts received by each person.
Simplifying the equation:
5x + 15 = 305
Subtracting 15 from both sides:
5x = 290
Dividing both sides by 5:
x = 58
Step 4: Calculate the amounts received by each person.
Now that we have found the value of x, we can substitute it back into our expressions for the amounts received by each person:
First person: x = 58 dollars
Second person: 2x - 4 = 2(58) - 4 = 112 - 4 = 108 dollars
Third person: 2x - 4 + 23 = 2(58) - 4 + 23 = 112 - 4 + 23 = 131 dollars
So, the first person received $58, the second person received $108, and the third person received $131.