Ratio and Proportion: 200:2 = 20: X (Enter numeric value only.)
0.2
2
0.1
3
Correct Answer : A
Set up a proportion where the ratios must be equal.
=
This can be solved by cross-multiplying:
200×𝑋=2×20
200𝑋=40
Now, solve for X by dividing both sides by 200:
𝑋= = 0.2
Thus, the value of X is 0.2.
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Related Questions
Correct Answer is A
Explanation
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.
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
Use the standard conversion scale.
1000 milliliters equal 1 liter.
So, to convert 5000 milliliters to liters:
5000milliliters÷1000=5liters
Thus, there are 5 liters in 5000 milliliters.
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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