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In Mathematics / High School | 2025-07-08

Write three ratios that are equivalent to $1: 5$

Asked by andrewmengue63

Answer (2)

Multiply the ratio 1 : 5 by 2 to get the first equivalent ratio: 2 : 10 .
Multiply the ratio 1 : 5 by 3 to get the second equivalent ratio: 3 : 15 .
Multiply the ratio 1 : 5 by 4 to get the third equivalent ratio: 4 : 20 .
Three equivalent ratios to 1 : 5 are 2 : 10 , 3 : 15 , 4 : 20 ​ .

Explanation

Understanding the Problem We need to find three ratios that are equivalent to the given ratio 1 : 5 . A ratio can be expressed as a fraction, and equivalent ratios can be obtained by multiplying or dividing both parts of the ratio by the same non-zero number.

Finding the First Equivalent Ratio To find the first equivalent ratio, we multiply both parts of the ratio 1 : 5 by 2: 1 × 2 : 5 × 2 = 2 : 10 So, the first equivalent ratio is 2 : 10 .

Finding the Second Equivalent Ratio To find the second equivalent ratio, we multiply both parts of the ratio 1 : 5 by 3: 1 × 3 : 5 × 3 = 3 : 15 So, the second equivalent ratio is 3 : 15 .

Finding the Third Equivalent Ratio To find the third equivalent ratio, we multiply both parts of the ratio 1 : 5 by 4: 1 × 4 : 5 × 4 = 4 : 20 So, the third equivalent ratio is 4 : 20 .

Final Answer Therefore, three ratios that are equivalent to 1 : 5 are 2 : 10 , 3 : 15 , and 4 : 20 .


Examples
Ratios are used in everyday life, such as when cooking, mixing paints, or calculating proportions. For example, if a recipe calls for a ratio of 1 part flour to 5 parts water, equivalent ratios can be used to scale the recipe up or down while maintaining the same consistency. If you want to double the recipe, you would use a ratio of 2 parts flour to 10 parts water. This ensures that the final product has the desired texture and taste.

Answered by GinnyAnswer | 2025-07-08

Three ratios that are equivalent to 1:5 are 2:10, 3:15, and 4:20. These ratios maintain the same proportional relationship by scaling them up. By multiplying both numbers in the ratio by the same factor, you create equivalent ratios.
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Answered by Anonymous | 2025-07-26