Ratio and Proportion: 450:15=225: X
X=7.5
X=30
X=15
X=60
Correct Answer : A
Set up the proportion as fractions:
= 
First, simplify the left side ratio:
= 30
This means for every 15 units on the left, there are 450 units. To maintain this proportion, the ratio on the right must behave similarly:
30 =
Now, solve for 𝑋X by cross-multiplying:
30⋅𝑋=225
Simplify to find X:
𝑋= 
= 7.5
This correct calculation verifies that 𝑋=7.5, matching the proportion given.
Thus, the answer is A. X = 7.5.
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Related Questions
Correct Answer is A
Explanation
To add the mixed numbers 
and 
, First add the whole numbers part separately and the fraction part separately
5 + 7 = 12
Now convert the fractions part with a common denominator and then perform the addition.
- Find a common denominator: The least common multiple (LCM) of 4 and 3 is 12. So, convert each fraction:
= 
= 
= 
= 
- Add the two fractions:
+ = 
= 
- Now combine the whole number part with the fraction part
12 + = 
Thus, the answer is A 12 7/12.
Correct Answer is C
Explanation
To determine which expression is the largest, you can consider each ratio or fraction and evaluate its decimal equivalent or compare its relative value. Each expression lists a ratio of 1 to another number, so essentially, we're looking at fractions:
- A
- B
- C
- D
Among these, the largest fraction is the one with the smallest denominator, because the whole (1 in this case) is divided into fewer parts, making each part larger. Therefore, the largest fraction, and thus the largest expression, is: C 1:2
Correct Answer is C
Explanation
To solve the division problem involving the mixed number:
divided by 2, first convert the mixed number to an improper fraction.
Convert to an improper fraction:
= 1+ 
= 
+ = 
Now, perform the division:
÷2 =÷
= × = 
=
Converting to a decimal:
= 0.75
The correct answer is: C 0.75
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
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