Charlene sold 15 magazines subscriptions for the fundraiser. Mark sold 17 subscriptions and Paul sold 12. How many magazine subs
1 answer:
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1) Set up proportions for the ratios:
Cross multiply the fractions:
Divide both sides by 2 to get x by itself.
5 to 2 is equal to 10 to 4.
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2) Set up proportions for the ratios:
Cross multiply the fractions:
Divide both sides by 21 to get x by itself:
14 to 21 is equal to 10 to 15.
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OPTIONAL:
To make 2) easier to solve, simplify 14 to 21.
Then, continue with the problem as described above:
Cross multiply the fractions:
Divide both sides by 2 to get x by itself.
5 to 2 is equal to 10 to 4.
------------
2) Set up proportions for the ratios:
Cross multiply the fractions:
Divide both sides by 21 to get x by itself:
14 to 21 is equal to 10 to 15.
------------
OPTIONAL:
To make 2) easier to solve, simplify 14 to 21.
Then, continue with the problem as described above:
Firstly, foil -(k + 1/4) (think of the minus sign as -1):
Next, combine like terms:
Next, we have to add 1/3k on both sides, but first we have to find the LCD, or lowest common denominator, of 3 and 12. To do this, list the multiples of both and the lowest one they share is their LCD. In this case, the LCD is 12. Multiply both sides of -1/3 by 4/4 and 1/12 by 1/1:
<em>Now</em> add 4/12k on both sides of the equation:
Next, to subtract 4/12 on both sides we need to find the LCD of 4 and 12. It's the similar process as we did with 12 and 3. This time the LCD is also 12. Multiply both sides of -1/4 by 3/3 and 4/12 by 1/1:
<em>Now</em> subtract 4/12 on both sides:
Lastly, multiply both sides by 12/5, and <u>your answer will be:</u>