26-05-2015
Mathematics

Answered

PLEASE HELP!!!
THIS IS FOR 10 POINTS!!!
Luke has a bag of 100 colored marbles. The bag has an equal number of green and blue marbles and an equal number of red and yellow marbles. If Luke arranged all of the green marbles in groups of 8 and all of the blue marbles in groups of 6, how many yellow marbles are in the bag?
A) 22
B) 24
C) 26
D) 28

Answer :

geoffcanyon geoffcanyon

26-05-2015

Since the number of green and blue marbles is the same, and the number of green marbles is divisible by 8, and the blue marbles by 6, the number of green marbles (and of the blue marbles) must be a multiple of both 6 and 8. The least common multiple of 6 and 8 is 24. So there can be either 24 blue and 24 green marbles, leaving 52 for red and yellow, or 48 blue and 48 green marbles, leaving 2 for red and yellow.

Since red and yellow are the same number, there could be either 26 yellow, or 1 yellow. Since 1 isn't given as an option, it has to be C) 26.

Answer Link

Other Questions

For every 10 persons in a city, one is left handed. If 6 persons are selected at random, from the city, find the probability that, I) exactly 3 II) more than ha

What is the primary reason for a knee making a crunching sound (known as crepitus) when it is bent?A. The presence of air bubbles in the joint fluid.B. The grin

\begin{tabular}{|l|l|l|l|l|l|l|l|l|}\hline\begin{tabular}{l}Time spent \\revising for an \\exam (Hours)\end{tabular} & 9 & 0.5 & 1 & 4 & 6 &

Question 12 (Multiple Choice, Worth 3 points)Specificity and progression are things you should work on to improve your physical health. What should the word "th

Question 6 of 50 (Required)While analyzing your connected TV (CTV) campaign within Display & Video 360, you want to find the total number of engaged users.

Which one of the following demonstrate characteristics of (Positive Behavior Intervention) PBI?a) Focus on how to behave, rather than on how not to behaveb) Are

Why is RAM important when working with software

T. S. Eliot's poetry could best be described as which of the following? a. Modernistb. Postmodernistc. Neoclassical d. Neoromantic

Why was Britain well-suited to industrialization?A. It was rich in natural resources, such as coal.B. It possessed excellent means of transport along waterways,

Icons, butter sculpture and sand mandalas are types of religious art. a. Trueb. False

The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Define your variable and write an equation that models the cost of each

List two applications of electrostatics.

2. To stop the spread of communism, the United States adopted a policy toward the Soviet Union of (1 point)

The majority of American intervention in foreign affairs occurred during which event? (4 points) Imperialism World War One World War Two Cold War

Which process produces the most ATP per molecule of glucose? A. Anaerobic respiration in a yeast cell B. Aerobic respiration in a bacterial cell C

Angles of a quadrilateral measure 80 degrees 100 degrees 100 degrees and 80 degrees in this order what kind of quadrilateral has this shape

What are the physical properties of slime?

Angle 4 is twice the size of angle 6, find angle 4. m∠4=

to make mortar you mix 1 shovel of cement with 5 shovels of sand. how much sand do you need to make 30 shovels of mortar

Which was a cause of the Hundred Years' War? A. England accused French monks of trying to convert English citizens. B. France refused to allow English merchant