I can solve the proportions by any method. can anyone help me understand this.
#1
4/15 = x/5
#2
x/3 = x+10/6
cross multiply.
So for #1 It becomes
(4)(5) = 15x in the next step.
then continue to find X
What do you mean by "understand"?
I can solve the first one for you.
4/15 = x/5
Cross mutliply.
5*4 = x*15
20=15x
x=20/15 = 4/3 = 1.333.
The second one needs some work.Is that x/3 = x+(10/6) or is it
x/3 = (x+10)/6
it is:
x/3 = x + 10/6
it would read as x over 3 = x plus 10 over 6
what i meant by not understanding is just that, i am lost with the numbers and letters together once i get someone to show me one i can do the rest. I can whip threw them if they are story problems but not just a line of letters and numbers.
Thanks for your help.
Certainly! Let's go through each problem step by step.
#1: Solve the proportion 4/15 = x/5
To solve this proportion, you can cross-multiply. Cross-multiplying means multiplying the numerator of the first fraction (4) by the denominator of the second fraction (5), and then multiplying the numerator of the second fraction (x) by the denominator of the first fraction (15).
So, cross-multiplying gives us:
4 * 5 = 15 * x
This simplifies to:
20 = 15x
Now, we need to isolate the variable x. Divide both sides of the equation by 15:
20/15 = x
The fraction 20/15 simplifies to 4/3, so:
x = 4/3
Therefore, the solution to the proportion 4/15 = x/5 is x = 4/3.
#2: Solve the proportion x/3 = (x + 10)/6
To solve this proportion, we can use the cross-multiplication method again.
Cross-multiply to get:
x * 6 = 3 * (x + 10)
Simplify the right side:
6x = 3x + 30
Subtract 3x from both sides to isolate the variable:
6x - 3x = 30
Simplify the left side:
3x = 30
Divide both sides of the equation by 3:
3x/3 = 30/3
This simplifies to:
x = 10
Therefore, the solution to the proportion x/3 = (x + 10)/6 is x = 10.
I hope this explanation helps you understand how to solve proportions using these methods!