If x exceeds z by 20% and y exceeds z by 80%, determine the ratio x:y.
Show answer Hide answer
Answer: D. 2:3
Explanation
Expressing variable x as one point two times z incorporates the twenty percent excess condition. Expressing variable y as one point eight times z incorporates the eighty percent excess condition. Forming the ratio of x to y gives one point two to one point eight, simplifying to two-thirds. Algebraic ratios compare relative magnitudes of quantities sharing a common reference variable in equations. Decimal multipliers represent percentage increases above base values for proportional comparison purposes. Simplifying numerical ratios involves dividing both terms by their greatest common divisor.
Economic models use variable ratios to analyze comparative price indices across different market sectors. Engineering designs maintain strict dimensional ratios to ensure structural stability under varying load conditions. Chemistry calculations rely on stoichiometric ratios to determine relative reactant quantities in balanced equations. Option A suggests one to four which completely misinterprets the algebraic relationship between the variables. Option B proposes three to four which results from an incorrect ratio simplification of the decimal terms. Option C implies one to three which underestimates the true proportional magnitude of x relative to y.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. Reducing a fraction's numerator by 25% and its denominator by 20% results in a new fraction of 3/4. Determine the original fraction?
Show answer Hide answer
Answer: E. None of these
Reducing the numerator by twenty-five percent leaves seventy-five percent of its original value. Reducing the denominator by twenty percent leaves eighty percent of its original value. Equating the adjusted fraction to t...
Q2. When fan pricing dropped by 20%, the quantity of units sold climbed by 40%. What was the net effect on monetary sales revenue?
Show answer Hide answer
Answer: A. 12 % Increase
A 20 percent drop in fan pricing scales the price factor down to 0.80 of its original level. A 40 percent increase in units sold scales the quantity factor up to 1.40 of its original level. Multiplying 0.80 by 1.40 yield...
Q3. Two valves X and Y fill a basin in 15 hrs. and 20 hrs. respectively, while a third pipe ‘Z’ empties the full basin in 25 hrs. All three activate initially, but valve ‘Z’ is closed after 10 hrs. How much time is needed to completely fill the basin?
Show answer Hide answer
Answer: A. 12 hrs
Pipes X and Y fill portions of the basin while pipe Z empties it concurrently. Calculating the net work done during the first ten hours accounts for all three active valves. Determining the remaining volume after valve Z...
Q4. What proportion of integers ranging from 1 to 70 yield squares terminating in the digit 1?
Show answer Hide answer
Answer: C. 20
Integers whose squares terminate in the digit one must end in either one or nine. Every decade from one to seventy contains two numbers ending in one or nine. Multiplying the two numbers per decade across seven decades y...
Q5. Which among the choices contains the highest number of integer divisors?
Show answer Hide answer
Answer: C. 176
Prime factorization yields distinct prime powers that determine the total number of integer divisors. Adding one to each exponent and multiplying the results together gives the divisor count. For 176, the calculation pro...
Q6. Which of the following fraction groupings appears in descending order?
Show answer Hide answer
Answer: C. 9/13, 6/11, 8/15
Converting the fraction nine over thirteen into a decimal yields approximately zero point six hundred ninety two. Converting the fraction six over eleven into a decimal yields approximately zero point five hundred forty...