Solve Ratio Problems

Equivalent fractions are two fractions with the same value.For example, 1/2 and 4/8 are equivalent because they both have a value of 0.5.

Equivalent fractions are two fractions with the same value.For example, 1/2 and 4/8 are equivalent because they both have a value of 0.5.

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We will be using the known value in this set (12) to determine the value of the variable (12).

In order to determine the relationship between the second set of terms in our ratio, we must first determine the relationship between the values in the first set. Once you have determined how the terms in one set are related, you can solve the ratio.

A.3.b Solve unit rate problems including those involving unit pricing and constant speed.

A.3.c Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

Ratios often look like fractions, but they are read differently.

For example, 3/4 is read as "3 to 4." Sometimes, you will see ratios written with a colon, as in 3:4.Cross products are the terms situated diagonally from each other when the ratios are written vertically. The "X" will connect diagonal terms, which will be multiplied.In our problem, the cross products are 7 and 4, and m and 2. A.2Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. A.3Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Read on to find out how to solve algebraic ratio problems using two methods: equivalent ratios and cross-multiplication.When you first begin studying ratios, you will encounter equivalent ratio problems. You have probably come across this term when you learned about fractions.In this case, the second set of terms--12 and n--has has the variable.Note that if we were talking about fractions, we could call the numbers in the second set "denominators." However, this term does not apply to ratios.First, simplify the side of the equation with two known values. Our goal is to isolate the variable, or to get it alone on one side of the equal sign.So, we will divide both sides of our equation by 2. Since 28 divided by 2 is 14, our final answer is m equals 14.

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