Ognerok said:Homework Statement
Aggregate # of nickels and dimes = 20 coins. If the ratio between nickels and dimes is 2:3, what is cent value of 20-coin set?
Homework Equations
2x = 3y
The Attempt at a Solution
20 = nickels(x)+dimes(y); ratio = 2x:3y; 2x = 3y; y = 2x/3
20 = x + 2x/3; x = 12 nickels; 6 dimes? ...confused from there.
A simple ratio problem is a type of mathematical problem that involves finding the relationship between two quantities by expressing them in the form of a ratio.
A simple ratio problem is usually presented as a word problem, where two quantities are compared using words such as "per", "to", or "for every".
The steps for solving a simple ratio problem include: 1) Identifying the two quantities being compared, 2) Expressing the two quantities in the form of a ratio, 3) Simplifying the ratio if possible, and 4) Solving for the unknown quantity using cross-multiplication.
Some common mistakes when solving simple ratio problems include: 1) Not correctly identifying the two quantities being compared, 2) Using the wrong numbers or units in the ratio, 3) Forgetting to simplify the ratio before solving, and 4) Making errors in cross-multiplication.
Simple ratio problems can be used to solve everyday problems, such as finding the cost per unit of a product, determining the ratio of ingredients in a recipe, or calculating the speed of an object based on distance and time. They are also commonly used in business and finance to analyze financial statements and make investment decisions.