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There are lots of situations that can create proportion word problems. We will illustrate these situations with some examples. Problem # 1. Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons.
Proportions. Proportion says that two ratios (or fractions) are equal. Example: We see that 1-out-of-3 is equal to 2-out-of-6. The ratios are the same, so they are in proportion. Example: Rope. A rope's length and weight are in proportion. When 20m of rope weighs 1kg, then: 40m of that rope weighs 2kg. 200m of that rope weighs 10kg. etc. So:
Ratio and proportion word problems are really applicable to real life when you need to calculate costs, determine time limits, or even convert between measurement systems! Here's a breakdown of what a ratio and proportion word problem might look like.
Sample questions and answers are given below in the worked out problems on ratio and proportion to get the basic concepts of solving ratio proportion. 1. Arrange the following ratios in descending order. 2 : 3, 3 : 4, 5 : 6, 1 : 5. Solution: Given ratios are 2/3, 3/4, 5/6, 1/5. The L.C.M. of 3, 4, 6, 5 is 2 × 2 × 3 × 5 = 60.
Word Problems Involving Proportions. Two problems showing how to use proportions to solve certain word problems. Examples: (1) Jacob ran 10 miles in 80 minutes. At that rate how far would he run in 2.5 hours? (2) Mark bought 12 cookies at $2.70. At that rate how much would it cost him to buy 20 cookies? Show Step-by-step Solutions.
Learn how to solve different types of proportion word problems, direct proportion word problems, inverse proportion word problems, grade 6, with video lessons, examples and step-by-step solutions.
The following diagram gives the steps to solve ratios and direct proportion word problems. Scroll down the page for examples and step-by-step solutions. Printable & Online Ratio & Proportion Worksheets.
