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A carpet is y yards long and f feet wide. How many dollars will it cos

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A carpet is y yards long and f feet wide. How many dollars will it cos [#permalink]

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A carpet is y yards long and f feet wide. How many dollars will it cost if the carpet sells for x cents per square foot? (1 yard = 3 feet)

(A) xyf

(B) 3xyf

(C) xyf/3

(D) 0.03yf/x

(E) 0.03xyf
[Reveal] Spoiler: OA

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Re: A carpet is y yards long and f feet wide. How many dollars will it cos [#permalink]

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New post 18 Mar 2018, 23:57
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Bunuel wrote:
A carpet is y yards long and f feet wide. How many dollars will it cost if the carpet sells for x cents per square foot? (1 yard = 3 feet)

(A) xyf

(B) 3xyf

(C) xyf/3

(D) 0.03yf/x

(E) 0.03xyf


Check other Conversion problems to practice in Special Questions Directory.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: A carpet is y yards long and f feet wide. How many dollars will it cos [#permalink]

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New post 19 Mar 2018, 00:08
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Bunuel wrote:
A carpet is y yards long and f feet wide. How many dollars will it cost if the carpet sells for x cents per square foot? (1 yard = 3 feet)

(A) xyf

(B) 3xyf

(C) xyf/3

(D) 0.03yf/x

(E) 0.03xyf


IMO E.

This is a conversion problem and the conversion factor is given - 1 yard is equal to 3 feet.

length of carpet = y yards = 3y feet.
width = f feet.
area = length * wight = 3yf square feet.

rate of carpet = x cents per square feet.

cost ( in cents ) = 3xyf this is the trap option! We are asked cost in dollars not cents... so we need to apply the implicit conversion of 100 cents a dollar

cost ( in dollars ) = 3xyf / 100 or 0.03xyf.

Hence Option E.

Best,
Gladi
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A carpet is y yards long and f feet wide. How many dollars will it cos [#permalink]

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New post 19 Mar 2018, 01:13
Expert's post
Bunuel wrote:
A carpet is y yards long and f feet wide. How many dollars will it cost if the carpet sells for x cents per square foot? (1 yard = 3 feet)

(A) xyf

(B) 3xyf

(C) xyf/3

(D) 0.03yf/x

(E) 0.03xyf


To make things easier, we'll pick easy numbers for x, y and f.
This is an Alternative approach.

Say y = 1 yard = 3 feet, f = 1 foot and x = 100 cents = 1 dollar per square foot.
Then our total cost in feet per dollar is 3*1*1 = 3 dollars.
Looking at our answer,
A. 1*1*100 = 100 NO.
B. 3*100*1*1 = 300 NO.
C. 100*1*1/3 = 100/3 NO.
D. 0.03*1*1/100 = 0.03/100 NO.
E. 0.03*100*1*1 = 3.

(E) is our answer.
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Re: A carpet is y yards long and f feet wide. How many dollars will it cos [#permalink]

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New post 20 Mar 2018, 16:59
Expert's post
Bunuel wrote:
A carpet is y yards long and f feet wide. How many dollars will it cost if the carpet sells for x cents per square foot? (1 yard = 3 feet)

(A) xyf

(B) 3xyf

(C) xyf/3

(D) 0.03yf/x

(E) 0.03xyf


Since y yards = 3y feet, the area of the carpet is 3y x f = 3yf square feet.

Since the carpet sells for x cents, or x/100 dollars, per square foot, the carpet will cost (3yf)(x/100) = 3xyf/100 = 0.03xyf dollars.

Answer: E
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Re: A carpet is y yards long and f feet wide. How many dollars will it cos [#permalink]

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New post 22 Mar 2018, 00:08
y yard = 3y ft

3y * f* x = 3yfx cents

100 cents = 1 dollar

3yfx / 100 = 0.03yfx

answer: E
Re: A carpet is y yards long and f feet wide. How many dollars will it cos   [#permalink] 22 Mar 2018, 00:08
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