# Math brain fart...help me with this fractional question please!

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Lynette paid \$350 for a videocassette recorder during a sale. This amount was 3/5 of the original price. What was the original price?

a) What was 1/6 of the original price?

b) What was 6/6 of the original price?

c) What was the original price?

For some reason, even though I've taught the concept of adding, subtracting, multiplying and dividing fractions, once it's put into a worded question like this, I'm totally confused as to how to figure it out!

Help! ;) Thanks.

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Lynette paid \$350 for a videocassette recorder during a sale. This amount was 3/5 of the original price. What was the original price?

a) What was 1/6 of the original price?

b) What was 6/6 of the original price?

c) What was the original price?

For some reason, even though I've taught the concept of adding, subtracting, multiplying and dividing fractions, once it's put into a worded question like this, I'm totally confused as to how to figure it out!

Help! ;) Thanks.

Let x = original price.

\$350 = 3/5 x

350 /3/5 = 3/5 x/3/5

350(5)/3 = x

x = 583 1/3

So now that you know x, you can figure the other questions.

HTH.

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I would just:

3/5 = 350/x

then cross multiply

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Or if you want to reason it out, you can just think - if 350 is 3/5 of the original price, then if I break it into 3 parts (350/3, or 116 2/3), each part is 1/5 of the original price. So the original price is 5 times that (116 2/3 * 5, or 583 1/3).

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Let x = original price.

\$350 = 3/5 x

350 /3/5 = 3/5 x/3/5

350(5)/3 = x

x = 583 1/3

So now that you know x, you can figure the other questions.

HTH.

:iagree:

To restate the problem:

\$350 is 3/5 of the orginal price.

\$350 = 3/5 x OP

Solve to find the OP.

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Thanks for all the help...now I can teach my math lesson! ;)

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