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.