Ratios and Unit Rates

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What is a ratio?

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A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

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How do you calculate a unit rate?

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To calculate a unit rate, divide the quantity by the number of units. For example, if you have 36 cookies for $4, the unit rate is 36 cookies ÷ 4 dollars = 9 cookies per dollar.

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What does it mean to find the number of items per ounce?

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Finding the number of items per ounce means calculating how many items are contained in one ounce of a product. For example, if there are 75 pieces of candy in a 15 oz bag, you divide 75 by 15 to find 5 pieces per ounce.

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What is the unit rate of 36 cookies for $4?

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The unit rate is 9 cookies per dollar.

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How do you express a ratio in simplest form?

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To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD). For example, the ratio 18:9 can be simplified to 2:1.

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What is the ratio of yellow votes to green votes if there are 18 yellow votes and 9 green votes?

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The ratio of yellow to green votes is 2:1.

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How do you find the cost per item?

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To find the cost per item, divide the total cost by the number of items. For example, if 13 peaches cost $8.84, the cost per peach is $8.84 ÷ 13 = approximately $0.68.

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What is a unit rate in the context of money?

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A unit rate in the context of money refers to the amount of a product or service you can buy for one unit of currency, such as cookies per dollar.

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If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, what is the ratio of flour to sugar?

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The ratio of flour to sugar is 2:3.

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What is the significance of understanding ratios and unit rates?

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Understanding ratios and unit rates helps in making comparisons, understanding proportions, and solving real-world problems involving quantities.