#9 GMAT Mixture Miniset
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1. A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and
8 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what
fractional part of the $20,000 was invested at the higher rate?
(A) 3 (B) 2 (C) 1 (D) 3 (E) 3
8 5 2 5 4
2a
2. Each day, a pig on a controlled diet is fed 200 grams of a mixture of two foods, food X and food Y. Food X
contains 10 percent protein and food Y contains 18 percent protein. If the pig’s diet provides exactly 30
grams of protein daily, how many grams of food X are in the mixture?
(A) 50 (B) 75 (C) 100 (D) 125 (E) 150
3. 90 students took a certain test. All of the students either scored 800 points or 500 points. If the average
score for the entire group was 560 points, how many students scored 800 points?
(A) 15 (B) 18 (C) 20 (D) 24 (E) 36
4. At a certain sports stadium, hotdogs cost $8 each and shitty beers cost $12 each. If only hotdogs and beers
were sold, what percent of total revenue came from sales of beer?
(1) The total revenue was $1056.
(2) Exactly 120 items were sold.
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5. Committee X and Committee Y, which have no common members, will combine to form Committee Z.
Does Committee X have more members than Committee Y ?
(1) The average (arithmetic mean) age of the members of Committee X is 25.7 years and the average age
of the members of Committee Y is 29.3 years.
(2) The average (arithmetic mean) age of the members of Committee Z will be 26.6 years.
6. At a certain company, the average female employee has 12 years of work experience, while the average
male employee has only 8 years of experience. If the average for all employees is 9.5 years of experience,
what is the ratio of women to men in the company?
(A) 3:5 (B) 3:8 (C) 3:4 (D) 5:3 (E) 5:8
7. In a certain GMAT school, the average blood pressure of female GMAT students increased by 12.5% and the
average blood pressure of male GMAT students increased by 23%. What fraction of GMAT students were
female?
(1) 92% of male students suffered from increased blood pressure.
(2) The average blood pressure for all students increased by 19%.
8. All of the watches sold by a certain store have a sale price of either $150 or $70 each. If the store sold a
total of 40 watches, how many watches were sold for $150?
(1) The average sale price for all watches was $120.
(2) The store’s total revenue from watches was $4800.
9. A certain butcher shop sells only pig intestines and turkey brains. From 2009 to 2010, revenues from pig
intestines increased by 9.5%, while revenues from turkey brains decreased by 6.5%. If total revenues
increased by 7.5% from 2009 to 2010, what percent of 2009 revenues came from pig intestine sales?
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(A) 12.5% (B) 33 % (C) 66 % (D) 77.5% (E) 87.5%
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Answers:
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