The ratio of two quantities is 7:12. If the larger one is 84, find the other.

Question

Anonymous · Answer

The smaller quantity corresponding to a larger quantity of 84 in a ratio of 7:12 is 49. This is found by establishing a relationship between the two quantities based on the ratio and solving for the unknown. Thus, the answer is 49. 
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BenjaminOwenLewis · Answer

To solve the problem of finding the other quantity when the ratio of two quantities is given, we can set up a proportion based on the given ratio and known value. 
 The problem states that the ratio of two quantities is 7 : 12 , and the larger quantity is 84 . Let's denote the smaller quantity as x . 
 The ratio can be written as a fraction: 12 7 ​ = 84 x ​ 
 We can solve this proportion for x by using cross-multiplication: 
 
 Cross-multiply to get: 7 × 84 = 12 × x 
 
 Simplify the left side of the equation: 588 = 12 x 
 
 To solve for x , divide both sides of the equation by 12 : x = 12 588 ​ 
 
 Simplify the division: x = 49

Therefore, the smaller quantity is 49 .

The ratio of two quantities is 7:12. If the larger one is 84, find the other.

Answer (2)

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