Lindsay grows only roses and tulips in her garden. The ratio of roses to tulips in her garden is 5:6. If there are 242 total flowers in her garden, how many of them are tulips?
Answer(s): E
The number of roses, 5x, plus the number of tulips, 6x, is equal to 242 total flowers: 5x + 6x = 242, 11x = 242, x = 22. There are 5(22) = 110 roses and 6(22) = 132 tulips in Lindsay's garden.
It takes eight people 12 hours to clean an office. How long would it take six people to clean the office?
Answer(s): C
There is an inverse relationship between the number of people and the time needed to clean the office.Multiply the number of people by the hours needed to clean the office: (8)(12) = 96. Divide the total number of hours by the new number of people, = 16. It takes six people 16 hours to clean theoffice.
Greg has nine paintings. The Hickory Museum has enough space to display three of them. From how many different sets of three paintings does Greg have to choose?
Be careful not to count the same set of three paintings more than once--order is not important. A nine- choose-three combination is equal to
If the surface area of a cube is 384 cm2, what is the volume of the cube?
The surface area of a cube is equal to 6e2, where e is the length of one edge of the cube; 6e2= 384 cm, e2= 64, e = 8 cm. The volume of a cube is equal toe3; (8 cm)3= 512 cm3.
What is the next number in the series below?3 16 6 12 12 8
Answer(s): D
This series actually has two alternating sets of numbers. The first number is doubled, giving the third number. The second number has 4 subtracted from it, giving it the fourth number. Therefore, the blank space will be 12 doubled, or 24.
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