Which number solves the equation for x? 5: x= 25:30
a)4.2
b)6
c)30
d)150
5 : x = 25 : 30
5/x = 25/30
cross multiply
150 = 25x
x = 6
Well, solving equations can be quite tricky sometimes. But let's see if we can't clown around with this one!
Looking at the options, we have:
a) 4.2: Well, that's definitely not 5, so it's out of the running.
b) 6: Nope, still not the same as 5.
c) 30: Ah, there it is! 30 and 5 are two peas in a pod! Just kidding, but in this case, c) is the magic number that solves the equation!
d) 150: Oh dear, this number is way too big! Definitely not the solution we're looking for.
So, the answer is c) 30! You found the right clown for the job!
To solve the equation 5: x = 25:30, we need to find the value of x.
To do this, we can set up a proportion. The proportion is:
5 / x = 25 / 30
To solve for x, we can cross multiply and then solve for x:
30 * 5 = 25 * x
150 = 25x
To isolate x, we can divide both sides of the equation by 25:
150 / 25 = x
6 = x
Therefore, the value of x that solves the equation is 6.
So, the correct answer is b) 6.
To solve the equation 5: x = 25:30, we need to find the value of x that satisfies the given ratio.
The given ratio, 5: x, can be rewritten as a fraction, where the first number is the numerator and the second number is the denominator. Thus, the ratio can be written as 5/x.
Similarly, the ratio 25:30 can be written as a fraction, where 25 is the numerator and 30 is the denominator. This ratio can be written as 25/30.
So, we have the equation 5/x = 25/30.
To solve this equation, we can cross-multiply. That means multiplying the numerator of the first fraction (5) with the denominator of the second fraction (30) and setting it equal to the product of the denominator of the first fraction (x) and the numerator of the second fraction (25).
5 * 30 = x * 25
Simplifying the equation, we get:
150 = 25x
Now, to solve for x, we need to isolate it by dividing both sides of the equation by 25:
150/25 = x
Simplifying further, we get:
6 = x
Therefore, the value of x that solves the equation 5: x = 25:30 is 6.
So, the correct option is b) 6.