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3 years ago

A prize was awarded to 24 women and 1130 men. a. What fraction of the prize winners were women? b. What fraction were men?

Mathematics

1 answer:

Brums [2.3K]3 years ago

8 0

a) The fraction of women is $\frac{12}{577}$

b) The fraction of men is $\frac{565}{577}$

Step-by-step explanation:

In this part of the problem, we are asked to find what fraction of the prize winners are women.

We have:

$w=24$ (number of prizes awarded to women)

$m=1130$ (number of prizes awarded to men)

First of all, we calculate the total number of prizes awarded:

$p=w+m=24+1130=1154$

Now we find the fraction of prize winners who were women, which is given by:

$p(w) = \frac{w}{p}=\frac{24}{1154}$

And we can simplify by dividing both numerators and denominators by 2,

$p(w)=\frac{24}{1154}=\frac{12}{577}$

The total number of prizes awarded is

$p=1154$

The number of prizes assigned to men is

$m=1130$

Therefore, the fraction of prize winners who were men is

$p(m)=\frac{m}{p}=\frac{1130}{1154}=\frac{565}{577}$

where we simplified the fraction by dividing both the numerator and the denominator by 2.

Learn more about fractions:

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3 years ago

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Step-by-step explanation:

step 1

Find the area of the rectangular backyard

The area of the rectangular backyard is equal to

$A=LW$

where

$L=18\frac{5}{6}\ yd=\frac{18*6+5}{6}=\frac{113}{6}\ yd$

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substitute

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step 2

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The area of the rectangular piece of sod is

$A=LW$

where

$L=1\frac{1}{3}\ yd=\frac{1*3+1}{3}=\frac{4}{3}\ yd$

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substitute

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step 3

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To find out how many whole pieces of sod will Jim need to buy to cover his backyard, divide the area of the backyard by the area of one piece of soda

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Round up

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3 years ago

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x: twice y (2, 4, 6, or 8)

y: half of x (1, 2, 3, or 4)

z: an even number (0, 2, 4, 6, or 8).

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Choose one of the digits and look at your options (if any).

when x=2, then y = 1, which means z has to be 11 (NOT VALID)

when x=4, then y = 2, which means z has to be 8 (428 works!)

For fun, let's see if any other numbers work:

when x=6, then y = 3, which means z has to be 5 (NOT VALID)

when x=8, then y = 4, which means z has to be 2 (842 works!)

Answer: 428 and 842 both work

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3 years ago

A prize was awarded to 24 women and 1130 men. a. What fraction of the prize winners were​ women? b. What fraction were​ men?

A prize was awarded to 24 women and 1130 men. a. What fraction of the prize winners were women? b. What fraction were men?