Solving Multi-Step Equations with Fractions
If you have to solve a multi-step equation, you might as well do it with fractions, right?
|Algebra||Understand solving equations as a process of reasoning|
Understand solving equations as a process of reasoning and explain the reasoning
|Basic Algebra||Basic Equations|
|Fractions and Decimals||Fractions|
If Parker only has two-thirds of an iceberg, how much ice will Penny need to bring to pick
up the slack? They can only transport the ice to the party in thirds.
Here are your options.
First, we need to formulate an equation to thaw out this problem.
Parker has two-thirds of an iceberg. That's the easy part. We need to know how many thirds
Pembroke needs to bring in order to equal five.
Our equation should be: two-thirds plus i-over-three equals five, and we're trying to solve for
i, which is the amount of ice. Now we need to simplify things.
We'll do this by multiplying everything by three to get rid of the fractions. 2/3 times
3 is 2. i over 3 times 3 is i. Five times three is
fifteen. So our equation is now: two plus i equals
fifteen. All we have to do now is subtract two from
Fifteen minus two equals thirteen. So Penny will need to bring 13 pieces of ice.
So i = 13. The answer is D.
That's a lot of ice. Penny’s got it covered though. Don't be
fooled by the rocks that she’s got.
Her love don't cost a thing.