if a number x is 10%of y and z,and z is 3 times of y.What % is x of y alone? 1)3.3% 2)2.5% 3)5% 4)4%
z = 3y
x = .1(y+z) = .1(y+3y) = .1(4y)
Take it from there.
i don't understand what is x of y alone ,
It is the relationship of x to y with z factored out.
To find the percentage of x in terms of y alone, we can use the information given in the question.
Let's break down the problem step by step:
1. Suppose x is 10% of y and z. Mathematically, this can be written as:
x = 0.1y (since x is 10% of y)
2. It is also given that z is 3 times y. Mathematically, this can be written as:
z = 3y
3. We need to find what percentage x is of y alone. Let's call it p.
So, p% of y = x.
4. To solve for p, we can rearrange the equation from step 1:
x = 0.1y
Divide both sides of the equation by y to get:
x/y = 0.1
5. Now, let's simplify the equation by dividing both sides by 0.1:
(x/y) / 0.1 = 1
6. Using the information from step 2, we can substitute z for 3y:
(x/z) / 0.1 = 1
7. Solving the equation, we find:
x/z = 0.1
8. Since z = 3y (from step 2), we can substitute z with 3y:
x/(3y) = 0.1
9. Now, let's solve for x/y alone by multiplying both sides of the equation by y:
(x/y) * (1/y) * y = 0.1 * y
x/y = 0.1 * y
10. So, we can conclude that x is 0.1 times y, which means x is 10% of y alone.
Therefore, the correct answer is 10%, which is not listed among the options provided.