The sum of three times a number and 2 less than 4 times that same number is 15. Which of the following equations could be used to find the value of the number , n?

1. 3n + 4n-2=15
2. 3n t 4(n-2)=15
3. 4n +3(n-2)=15
4. 3n - 4(n-2) = 15
I pick 3.

Nope.

The sum of three times a number and 2 less than 4 times that same number is 15

The sum of ... +
three times a number .... 3x
2 less than 4 times that same number--- 4x - 2
is ---- = 15

so 3x + 4x - 2 = 15

none of your choices match that

solving:
7x = 17
x = 17/7

check:
3 times the number = 51/7
2 less than 4 times the number = 4(17/7) - 2 = 54/7
their sum = 51/7 + 54/7 = 98/7 = 15
as required

My answer is correct but not obtainable with any of the given choices.

what is this form called

To solve this problem, we need to set up an equation that represents the sum of three times a number and 2 less than 4 times that same number equalling 15. Let's go through each equation and determine if it correctly represents the given problem.

1. 3n + 4n - 2 = 15: This equation represents the sum of three times a number (3n) and 4 times the same number (-2), but it does not correctly represent the given problem since there is no connection between these terms.

2. 3n * 4(n - 2) = 15: This equation is incorrect because it uses the multiplication symbol (*) instead of the addition symbol (+) for the sum of the two terms.

3. 4n + 3(n - 2) = 15: This equation correctly represents the given problem. It represents the sum of 4 times a number (4n) and 3 times the same number subtracted by 2 (3(n - 2)), which equals 15.

4. 3n - 4(n - 2) = 15: This equation represents the difference between three times a number (3n) and 4 times the same number subtracted by 2 (-4(n - 2)), but it does not correctly represent the given problem since we need to find the sum, not the difference.

Therefore, the equation that could be used to find the value of the number, n, is equation number 3: 4n + 3(n - 2) = 15.