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Sample GED Math Problem - Ratios

Michael spent the following amounts of time building a bookcase:

drawing up the plans: 2 hours
cutting wood: 1 ½ hours
assembling the bookcase: 2 hours
Sanding and sealing: 3 ½ hours
 
What is the ratio of time spent cutting the wood to total time spent on the project?

  • 1:9
  • 1:6
  • 1:5
  • 3:7
 
Solution:

We need to find two pieces of information in order to solve this problem:

Time spent cutting the wood
Total time spent on the project
We find that it took 1 ½ hours to cut the wood from looking above at the information provided in the question.

Next, find the time the entire project took by adding up all the times. We get 9 hours to complete the whole project.

Now we solve our problem by doing the following steps:

  1. Our ratio is: time spent cutting wood : total time spent of the project
  2. We plug in the numbers to get: 1 ½:9
  3. We multiply each term of the ratio by 2 to get rid of the fraction to get: 3:18
  4. We reduce the ratio by dividing each term of the ratio by 3 to get: 1:6
  5. Our answer is 1:6.
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