Question

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In a bag full of small balls, 1/4 of these balls are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?

Answer 1

Hey!

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1/4 are green.

1/8 are blue.

1/12 are yellow.

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Solution:

= 1/4 + 1/8 + 1/12

= 6/24 + 3/24 + 2/24

= 11/24

1 - 11/24 = 13/24

13/24 are white.

13x/24 = 26

13x/24 * 24 = 26 * 24

13x = 624

13x/13 = 624/13

x = 48

To find how many blue balls just divide by 8.

48/8 = 6

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Answer:

There are 6 blue balls.

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Hope This Helped! Good Luck!

Answer 2

6

Explanation:

First, find common denominators for the fractions given. In this case, it will be 24. Remember that what you multiply to the denominator, you multiply to the numerator:

(1/4) x (6/6) = 6/24

(1/8) x (3/3) = 3/24

(1/12) x (2/2) = 2/24

(6/24) + (3/24) + (2/24) = (6 + 3 + 2)/24 = (11)/24

11/24 of the balls are NOT white.

Find the amount that are white. Subtract 11/24 from the total, 24/24:

24/24 - 11/24 = 13/24

Multiply:

26 * (1/8)/(13/24) = (26/8)/(13/24) = (13/4) * (24/13) = (24/4) = 6

6 is the amount of blue balls there are in the bag.

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