Solve Ratio Problems

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We know that if we multiply 5 by 4, we will get 20.

So, we need to also multiply 12 by 4 to find the value of n. When you have moved into more advanced studies of ratios, you will begin to encounter proportions.

Multiply across the known corners, then divide by the third number: Part = (160 × 25) / 100 = 4000 / 100 = 40 Answer: 25% of 160 is 40.

Note: we could have also solved this by doing the divide first, like this: Part = 160 × (25 / 100) = 160 × 0.25 = 40 Either method works fine. Sam measures a stick and its shadow (in meters), and also the shadow of the tree, and this is what he gets: You have 12 buckets of stones but the ratio says 6.

A.3.b Solve unit rate problems including those involving unit pricing and constant speed.

A.3.c Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

Proportions are statements that show two ratios as equivalent.

Obviously, proportions are very similar to equivalent ratio problems.

Ratios often look like fractions, but they are read differently.

For example, 3/4 is read as "3 to 4." Sometimes, you will see ratios written with a colon, as in 3:4.


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