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 D
Explanation
Calculate the difference in the cost per gallon between the two prices and then multiply that difference by the number of gallons he purchased.
Difference in cost per gallon:
2.26−2.14=0.12dollarspergallon
Number of gallons purchased:
15.7gallons
Total savings:
0.12×15.7=1.884
Rounding to the nearest cent, the total savings is approximately: $1.88
Therefore, the man saved by going to the less expensive station is: D $1.88
Correct Answer is A
Explanation
Divide the total number of pieces of mail by the number of households:
Totalpiecesofmail=5400
Totalhouseholds=675
Now, calculate the average:
Average=
Using a calculator:
Average=8
Correct Answer is B
Explanation
To convert the decimal 0.16 to a fraction, follow these steps:
- Write it as a fraction of 1:
0.16=
- Multiply both the numerator and the denominator by 100 to eliminate the decimal places (because there are two decimal places in 0.16):
=
- Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator: The GCD of 16 and 100 is 4, so divide both the numerator and the denominator by 4:
=
The correct fraction representation of 0.16 is therefore .
So the answer is B 4/25.
Correct Answer is C
Explanation
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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