Thursday - Solving Ratios Word Problems

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What is a ratio?

Back

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

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How do you solve a ratio word problem?

Back

To solve a ratio word problem, identify the quantities involved, set up a proportion based on the given ratio, and solve for the unknown quantity.

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If the ratio of reptiles to birds is 3:2 and there are 650 animals total, how do you find the number of birds?

Back

First, add the parts of the ratio (3 + 2 = 5). Then, divide the total number of animals (650) by the total parts (5) to find the value of one part (130). Multiply the number of parts for birds (2) by the value of one part (130) to get 260 birds.

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What is the formula to find the total number of items in a ratio?

Back

Total = (Sum of the parts of the ratio) x (Value of one part).

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In a ratio of girls to boys of 5:6, how do you find the number of girls if there are 77 contestants?

Back

Add the parts of the ratio (5 + 6 = 11). Divide the total contestants (77) by the total parts (11) to find the value of one part (7). Multiply the number of parts for girls (5) by the value of one part (7) to get 35 girls.

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What does it mean if a ratio is expressed as 4:5?

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It means for every 4 units of the first quantity, there are 5 units of the second quantity.

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If Ms. Curry ate 72 cookies and the ratio of chocolate chip cookies to Oreos is 4:5, how do you find the number of Oreos?

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Add the parts of the ratio (4 + 5 = 9). Divide the total cookies (72) by the total parts (9) to find the value of one part (8). Multiply the number of parts for Oreos (5) by the value of one part (8) to get 40 Oreos.

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How do you find the number of girls in a classroom with a boys to girls ratio of 4:5 and 20 boys?

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Set up a proportion: 4 boys / 5 girls = 20 boys / x girls. Cross-multiply and solve for x to find 25 girls.

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What is the relationship between the parts of a ratio and the total quantity?

Back

The parts of a ratio represent fractions of the total quantity, and the total quantity is the sum of all parts multiplied by the value of one part.

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If Coach Hilliard drank 45 cups of coffee with a ratio of pumpkin spice to vanilla of 3:2, how do you find the number of pumpkin spice cups?

Back

Add the parts of the ratio (3 + 2 = 5). Divide the total cups (45) by the total parts (5) to find the value of one part (9). Multiply the number of parts for pumpkin spice (3) by the value of one part (9) to get 27 pumpkin spice cups.