Set up and solve a proportion to answer each question. The ratio og lime to sand in martar is 3:7. How much lime must be mixed with 21 bags of sand to make mortar?

Question

Set up and solve a proportion to answer each question.  The ratio og lime to sand in martar is 3:7. How much lime must be mixed with 21 bags of sand to make mortar?

Laaibah Pitt · Accepted Answer

Approach:  The quotient of two numbers is called a ratio.  Ex: 58 or 5:8  An equation indicating that two ratios are equal is called a proportion.  Ex: 34=1520,pq=rs  In the proportion, pq=rs, the numbers p and s are called extremes, and the numbers r and q are called the means.  In any proportion, the product of the extremes is equal to the product of the means.  Ex: ps=rq  Two variables are said to be directly proportional or varies directly, if their ratio is a product is a constant.  Ex: ab=k,a=kb where k is a constant.  Variable a is said to be jointly proportional with b and c means a=kbc where k is a constant. Calculation:  Let the number of bags of lime be x.  Set the proportion, if there are 21 bags of sand to make mortar and solve for no of lime bags x.  37=x21  By property of proportions, the product of the extremes is equal to the product of the means.  3×21=7×x  63=7x  x=637  x=9 bags  Therefore, number of lime bags that must be mixed with 21 bags of sand to make mortar are 9 bags.  Final statement:  The no of lime bags that must be mixed with 21 bags of sand to make mortar are 9 bags.

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Set up and solve a proportion to answer each question.

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