High School

What is x in this equation: 2pt = Xml if 1pt = 2C and 1C = 240ml?

A) x = 2
B) x = 480
C) x = 120
D) x = 240

Answer :

Final answer:

After substituting the given values and performing the calculations, we find that the value of x is 480ml, in accordance with the equation provided. Thus, option b) matches the result obtained through the conversion and calculation process.

Thus the correct answer is b) x = 480

Explanation:

To find the value of x in the equation 2pt = Xml, where 1pt = 2C and 1C = 240ml, we need to first convert pt to C and then C to ml. Since 1pt = 2C, we can substitute pt with 2C in the equation. Thus, the equation becomes 2(2C)t = Xml. Further, we know that 1C = 240ml, so we can substitute 2C with 2(240ml). Hence, the equation becomes 2(2*240ml)t = Xml. Simplifying, we get 960t = Xml.

Now, we need to solve for x. We know that 1pt = 2C, and 1C = 240ml. So, 1pt = 2*240ml = 480ml. Substituting this value into the equation, we get 960t = 480ml * t * m. To find x, we divide both sides by t and m, leaving x = 480ml. Therefore, the correct answer is b) x = 480.

Therefore, Option b) is correct because after converting pt to ml and substituting all the values into the equation, we find that x equals 480ml, making option b) the correct choice.

Other Questions