Math

QuestionList the fractions of red, blue, green, and yellow marbles from greatest to least for 60 total marbles. Explain your reasoning.

Studdy Solution

STEP 1

Assumptions1. There are60 marbles in total. . The fractions represent the proportions of different colored marbles in the bag.
3. We need to list the fractions from greatest to least.

STEP 2

First, we need to calculate the number of marbles of each color. We can do this by multiplying the total number of marbles by the fraction representing each color.
For red marblesRed=TotalmarblestimesFractionofredmarblesRed = Total\, marbles \\times Fraction\, of\, red\, marblesFor blue marblesBlue=TotalmarblestimesFractionofbluemarblesBlue = Total\, marbles \\times Fraction\, of\, blue\, marblesFor green marblesGreen=TotalmarblestimesFractionofgreenmarblesGreen = Total\, marbles \\times Fraction\, of\, green\, marblesFor yellow marblesYellow=TotalmarblestimesFractionofyellowmarblesYellow = Total\, marbles \\times Fraction\, of\, yellow\, marbles

STEP 3

Now, plug in the given values for the total number of marbles and the fractions to calculate the number of marbles of each color.
For red marblesRed=60times1Red =60 \\times \frac{1}{}For blue marblesBlue=60times25Blue =60 \\times \frac{2}{5}For green marblesGreen=60times112Green =60 \\times \frac{1}{12}For yellow marblesYellow=60times15Yellow =60 \\times \frac{}{15}

STEP 4

Calculate the number of marbles of each color.
For red marblesRed=60times14=15Red =60 \\times \frac{1}{4} =15For blue marblesBlue=60times2=24Blue =60 \\times \frac{2}{} =24For green marblesGreen=60times112=Green =60 \\times \frac{1}{12} =For yellow marblesYellow=60times415=16Yellow =60 \\times \frac{4}{15} =16

STEP 5

Now that we have the number of marbles of each color, we can list the fractions from greatest to least by comparing the number of marbles of each color.
The fractions from greatest to least are25,415,14,112\frac{2}{5}, \frac{4}{15}, \frac{1}{4}, \frac{1}{12}This is because the number of marbles corresponding to these fractions, from greatest to least, are24,16,15,524,16,15,5

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