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Let the total number of workers be x. 0.40(x) = Workers who have atleast 5 years of service(5 or more years of service) 16 workers have atleast 10 years of service (10 or more years of service) 0.90(x) = workers that have fewer than 10 years of service It then follows that 0.10(x) = 16 => x = 160 Wo...

by truplayer256

Tue Aug 21, 2012 6:26 pm
Forum: Problem Solving
Topic: workers
Replies: 2
Views: 1065

Assume Kim bought x 5-cent and 25-cent stamps and 2x 10-cent stamps. Let y be the amount of 1-cent stamps bought. .05(x) + 0.25(x) + 0.20(x) + 0.01(y) = 2.65 y = (2.65 - 0.5(x))*100 = 265 - 50x In order to minimize y, we must maximize the value of x. The only value of x that works in that case is x ...

by truplayer256

Mon Aug 20, 2012 7:17 pm
Forum: Problem Solving
Topic: stamps
Replies: 4
Views: 1883

Let x/y = 2/5.

(x + 4)/(2y) = 1/3 => 1/2(x/y) + 2/y = 1/3

1/5 + 2/y = 1/3 => 2/y = 2/15

y = 15

x = (2/5)(15) = 6

x + y = 21

Choose E.

by truplayer256

Mon Aug 20, 2012 4:10 pm
Forum: Problem Solving
Topic: SUM?
Replies: 2
Views: 959

I'm going to assume they want to find the area of triangle ABD? I can't quite see the end part of the question as for it is not visible. Area of quad. ABCD = Area of triangle BDC + Area of triangle ABD 36 = (5)(8)/2 + Area of triangle ABD 36 - 20 = 16 = Area of triangle ABD. Choose C. Note that the ...

by truplayer256

Mon Aug 20, 2012 4:07 pm
Forum: Problem Solving
Topic: quadrilateral
Replies: 1
Views: 739

Assume the car traveled x mpg on the highway and (x - 6) mpg in city. It then follows that:

462/x = 336/(x - 6) since both mileages (462 and 332) are on a tankful of gasoline.

336x = 462x - 2772 => -126x = -2772 => x = 22

So in the city, the car travels 22 - 6 = 16 mpg.

Choose B.

by truplayer256

Mon Aug 20, 2012 2:08 pm
Forum: Problem Solving
Topic: miles
Replies: 3
Views: 1168

5^12 + 5^13
Factor out a 5^12:
5^12(1 + 5) = 6(5^12)
Choose C.

by truplayer256

Sat Aug 18, 2012 6:16 pm
Forum: Problem Solving
Topic: how do i solve this?
Replies: 2
Views: 1040

Average arithmetic cost of the x calculators = 300/x
Total amount received from selling all the calculator = (300/x + 5)(x - 2)= Total Revenue
From the problem:
(300/x + 5)(x - 2)= 300 + 120 = 420
300 - 600/x + 5x - 10 = 420
-600/x + 5x = 130
5x^2 - 130x - 600 = 0
x^2 - 26x - 120 = 0
x = 30
Choose E.

by truplayer256

Sat Aug 18, 2012 5:57 pm
Forum: Problem Solving
Topic: calculators
Replies: 2
Views: 1153

Let the remaining games be x.
(80 + x/2)/(100 + x) = 7/10

800 + 5x = 700 + 7x

100 = 2x => x = 50

Total games played = 100 + 50 = 150 games

Choose D.

by truplayer256

Fri Aug 17, 2012 4:47 pm
Forum: Problem Solving
Topic: games during a season
Replies: 4
Views: 1131

This question is unlikely on the GMAT but I'll definitely go ahead and take an attempt at it. This problem follows something known as the normal distribution and the 68-95-99.7 rule. This rule states that area under the curve 1 SD away covers 68% of the area, and similarly, area under the curve 2 SD...

by truplayer256

Wed Aug 15, 2012 4:41 am
Forum: Problem Solving
Topic: ("z-score") of the height
Replies: 4
Views: 1830

y = 4 + (x - 3)^2 Note that y is always going to increase or stay the same no matter what since (x - 3)^2 is ALWAYS going to be positive. Therefore, the only obvious choice for the least value of y is 4 and this occurs when x = 3. If you have taken calculus before, you can also use differentiation t...

by truplayer256

Fri Aug 10, 2012 9:37 am
Forum: Problem Solving
Topic: Source - GMATprep
Replies: 3
Views: 4361

Let x be the total amount of hospital expenses last year.
Amt. paid by insurance policy last year = 408 + 0.20(x) = 0.8(x)
408 = 0.6(x) => x = 408(5/3) = $680
Choose B.

by truplayer256

Fri Aug 10, 2012 6:20 am
Forum: Problem Solving
Topic: insurance
Replies: 2
Views: 2151

An algebraic approach: Let the current employees at Company E be x and let the salary of each employee be d. Last year, the amount of employees was 0.9(x) or x - 0.10(x) due to a 10% decrease. After the decrease, we know that the average salary of each employee will be 1.10d because of the 10% incre...

by truplayer256

Thu Aug 09, 2012 8:18 pm
Forum: Problem Solving
Topic: percentages
Replies: 4
Views: 1201

Did you mean (4 - x)/(2 + x) = x ? If so, then:

(4 - x) = x(2 + x) => 4 - x = 2x + x^2 => x^2 + 3x - 4 = 0

Choose option 3.

by truplayer256

Thu Aug 09, 2012 8:11 pm
Forum: Problem Solving
Topic: x=?
Replies: 3
Views: 860

The key words are "The ratio of width to length will be unchanged." From this, we know that:

10/15 = 22/x where x is the length of the enlarged photograph.
x = (22)(15)/(10) = 33 inches

Choose A.

by truplayer256

Thu Aug 09, 2012 8:10 pm
Forum: Problem Solving
Topic: rectangular photograph
Replies: 1
Views: 3179

5^(21) * 4^(11) = 2 x 10^n

5^(21) * 4^(11) = 2^(n + 1) x 5^n

2^(22) * 5^(21) = 2^(n + 1) x 5^n

Note that only n = 21 works in this case.

by truplayer256

Wed Aug 08, 2012 8:44 pm
Forum: Problem Solving
Topic: Algebra Problem
Replies: 8
Views: 1706