Respuesta :

Answer:

? = 36

Step-by-step explanation:

Knowing that 3/5 and 24/40 is equal

Therefore we can either use:

3/5 = ?/60 or 24/40 = ?/60

I will use 3/5 = ?/60

Let ? = x

Hence we have

3/5 = x/60

Multiply both sides by 10

6 = x/6

Multiply both sides by 6

x = 36

Therefore, the question mark = 36

Let's check the answer by Simplifying the fraction:

3/5 = 36/60

3/5 is in already simplify

36/60 simplify = 3/5

3/5 = 3/5

Thus, the question mark = 36

[RevyBreeze]

Step-by-step Solution:

Let the "?" be known as "x".

Given equation:

3/5 = 24/40 = x/60

Therefore, we obtain the following equations:

  • Equation 1: 3/5 = 24/40
  • Equation 2: 3/5 = x/60
  • Equation 3: 24/40 = x/60

Clearly, the second and the third equation have the "x" variable included. Therefore, we will only focus on the second and third equations.

  • 3/5 = x/60
  • 24/40 = x/60

Note: We can choose any equation to solve for x. The value of x in both equations will be the same as 3/5 = 24/40.

Determining the "x" variable in Equation 2:

  • ⇒ 3/5 = x/60
  • ⇒ 5x = 60 × 3                                             [Cross multiplication]
  • ⇒ 5x = 180                                                        [Simplifying]
  • ⇒ 5x/5 = 180/5                                                   [Dividing]
  • x = 36                                                          [Simplifying]

Determining the "x" variable in Equation 3:

  • ⇒ 24/40 = x/60
  • ⇒ 40x = 24 × 60                                        [Cross multiplication]
  • ⇒ 40x = 1440                                                   [Simplifying]
  • ⇒ 40x/40 = 1440/40                                          [Dividing]
  • x = 36                                                          [Simplifying]

Therefore, the value of "?" is 36.

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