6th Grade Algebra Math Problem. Help Me!?
Hi. Please hel me with my Math homework! It's so hard! Thank You!!!
I made one. I think it's right. The answer should be like this:
The quotient of a number and seven is 27. Find the number.
-Let x be the other number
equation: x÷7=27
x+17(7) = 189
189 is the other number.
The answer should be like that. I'm so freaaaaking out. My mom is busy at work so she can't help me. I guess no one is available in the house to help me 
1) 4 times a number is 3 times the difference between 25 and a number. Find the number.
2) The sum of 2 numbers is 15. One less than 3 times the smaller is equal to the larger. Find the numbers.
3) The sum of two numbers is 21. Find the numbers such that one number is 3 less than the other.
4) One number is four less than another. What are the numbers if their sum is 20? What is the number?
Comments
4x = 3(25 - x)
4x = 75 - 3x
7x = 75
x = 75/7 OR 10 5/7
Answer 1: 75/7 OR 10 5/7 is the number.
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1st equation—smaller number (y) in terms of larger number (x):
x + y = 15
y = 15 - x
2nd equation—larger number (x):
x = 3(15 - x) - 1
x = 45 - 3x - 1
4x = 44
x = 11
Smaller number:
= 15 - 11
= 4
Answer 2: 11 & 4 are the numbers.
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Larger number—x:
x + x - 3 = 21
2x = 24
x = 12
Smaller number:
= 12 - 3
= 9
Answer 3: 12 & 9 are the numbers.
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Larger number—x:
x + x - 4 = 20
2x = 24
x = 12
Smaller number:
= 12 - 4
= 8
Answer 4: 12 & 8 are the numbers.
For your example: the quotient of a number and seven is 27. Find the number.
it is
x/7 = 27
x = 27(7)
x = 189
1.)
4x = 3(25 - x)
4x = 75 - 3 x
7x = 75
x = 75/7
2.)
x = smaller number
3x - 1 = larger number
(3x - 1) + x = 15
4x = 16
x = 4
substitute x
4 = smaller number
12 - 1 = 11 = larger number
3.)
x - 3 = 1st number
x = 2nd number
(x - 3) + x = 21
2x - 3 = 21
2x = 24
x = 12
substitute x
12 - 3 = 9 = 1st number
12 = 2nd number
4.)
x - 4 = 1st number
x = 2nd number
(x - 4) + x = 20
2x - 4 = 20
2x = 24
x = 12
subsitute x
12 - 4 = 8 = 1st number
12 = 2nd number
1)
let x be the number
4x = 3( 25 - x)
4x = 75 - 3x
7x = 75
x= 75/7
2)
let x be the smaller number
x= smaller number
3x -1 = larger number
3x - 1 + x = 15
4x = 16
x= 4
3)
let x be the smaller number
x= smaller number
x+3 = larger number
x + x + 3 = 21
2x +3 = 21
2x = 18
x = 9
4)
let x be the smaller number
x+ smaller number
x+4 + bigger number
x + x + 4 = 20
2x+ 4 = 20
2x = 16
x = 8
1)
4x=3(25-x)
4x=75-3x
7x=75
x=75/7
Number is 75/7
2)
3x-1=15-x
4x=16
x=4
15-4=11
The nos are 4 and 11.
3)
21-x=x-3
24=2x
x=12
The nos are 12 and 9
4)
x-4=20-x
2x=24
x=12
Nos are 12 and 8
equation: x÷7=27
x+17(7) = 189
x=189-119
x=70
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