Ratio and Proportion: 125:5:75: X
X=125
X=5
X=3
X=75
Correct Answer : C
To solve this proportion, we set up the ratio of the given terms equal to the ratio of the unknown term:
=
Now, we cross multiply:
125×𝑋=5×75
125𝑋=375
Now, solve for X by dividing both sides by 125:
𝑋 = = 3
So, the value of X is 3.
Therefore, the correct answer is: C X= 3
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Related Questions
Correct Answer is A
Explanation
To multiply mixed numbers 3and 2
, first convert each mixed number to an improper fraction.
Convert 3and 2
to improper fractions:
3= 3 +
=
=
2 = 2 +
=
=
Next, multiply the two improper fractions:
×
=
To reduce to its lowest terms, we find the greatest common divisor (gcd) of 385 and 55. Both 385 and 55 are divisible by 55:
= 385÷55 = 7
The correct answer is: A 7
Correct Answer is D
Explanation
To convert 0.26 to a fraction, you first recognize it as because 0.26 is 26 hundredths.
Next, to simplify, you find the greatest common divisor of 26 and 100. Both numbers are divisible by 2, so:
=
Checking the options:
- A: 26/10026/100 (correct but not in simplest form)
- B: 7/87/8 (irrelevant)
- C: 26/1026/10 (incorrect form)
- D: 13/5013/50 (correct and in simplest form)
Answer: D 13/50
Correct Answer is A
Explanation
To solve for the proportion, first write the given proportions in fraction format as follows:
=
Now, solve for X by cross-multiplying:
0.3×𝑋=2×15
0.3X=30
Divide both sides by 0.3 to isolate X:
X =
X = 100
The correct answer is 100
Correct Answer is A
Explanation
To solve the proportion =
, use cross-multiplication:
45×105=35×𝑋
Calculate the left side:
45×105=4725
Now set up the equation:
4725=35𝑋
Solve for X by dividing both sides by 35:
𝑋= = 135
Thus, the value of X is 135.
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