A Cuban cigar would cost 1 dollar less than 1.5 times a French cigar, had the French cigar cost 0.7 dollar less than it does now. An Arabian cigar costs 50 cents more than 1.5 times the Cuban cigar. The three cigars together cost 74.7 dollars. What is the price of the French cigar?
Answer(s): A
Sign the French cigar as X. The Cuban cigar is 1.5(X-0.7) - 1. The Arabian cigar is 1.5[1.5(X-0.7)-1] + 0.5.The sum of all the three is 74.7. The correct answer is A.
Ashley paid 5 dollars for 1 notebook and 1 pencil. If both prices were integers, how many pencils did Ashley buy if she paid 93 dollars for the pencils and for 15 notebooks?
Answer(s): D
One notebook can cost 1, 2, 3 or 4 dollars. Subtract 15 times each price from 93, and check if what you get is divisible by 5 minus the price of the notebook. The number could be 24, 21 or 33. The correct answer is D.
The sum of the ages of 22 boys and 24 girls is 160.What is the sum of ages of one boy plus one girl, if all the boys are of the same age and all the girls are of the same age, and only full years are counted?
Answer(s): C
Changing the equality: 22X + 24Y = 160, we get: X= Since X must be a positive integer, Y must be smaller than 7. The numerator will be 11, 22, 33, 44 etc. Y must be 3 and X=3. X+Y = 7. The correct answer is C.
X percents of the rooms are suits, and Y Percents of the rooms are painted light blue? Which of the following best represents the least Percentage of the light blue painted suits?
D shows us the difference between the sum of the percentages and 100 percent. If X+Y>100, this percent must be subtracted from the sum X+Y in order to get 100 percent. Sum of sets minus the total equals the congruence. The correct answer is D.
David bought 13 BMW cars for a total price of 1,105,000 dollars. If he wants to make a profit of 39,000 dollars in the deal, at what price should he sell one car?
Answer(s): B
The buying price for one car is 1,105,000 / 13 = 85,000. The wished for a car is 39,000 / 13 = 3,000. So the selling price must be 85,000 + 3,000. The correct answer is B.
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