ShmoopTube

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Solving Multi-Step Equations with Fractions, a la Shmoop.

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Due to budget cuts... aka global warming… the annual Arctic Ball is now BYOI...

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…Bring Your Own Ice. Parker Penguin has invited potential life

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partner Penny Penguin to the Arctic Ball. Each penguin pair is expected to bring five

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icebergs to the party.

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If Parker only has two-thirds of an iceberg, how much ice will Penny need to bring to pick

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up the slack? They can only transport the ice to the party in thirds.

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Here are your options.

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First, we need to formulate an equation to thaw out this problem.

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Parker has two-thirds of an iceberg. That's the easy part. We need to know how many thirds

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Pembroke needs to bring in order to equal five.

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Our equation should be: two-thirds plus i-over-three equals five, and we're trying to solve for

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i, which is the amount of ice. Now we need to simplify things.

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We'll do this by multiplying everything by three to get rid of the fractions. 2/3 times

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3 is 2. i over 3 times 3 is i. Five times three is

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fifteen. So our equation is now: two plus i equals

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fifteen. All we have to do now is subtract two from

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both sides.

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Fifteen minus two equals thirteen. So Penny will need to bring 13 pieces of ice.

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So i = 13. The answer is D.

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That's a lot of ice. Penny’s got it covered though. Don't be

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fooled by the rocks that she’s got.

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Her love don't cost a thing.

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