# Simple Ratios problem from old SAT book

• Ognerok
In summary, the conversation discusses the problem of finding the cent value of a set of 20 coins with a ratio of 2:3 between nickels and dimes. Through solving the equations, it is determined that there are 12 nickels and 8 dimes in the set. The final step is to calculate the total value of the coins.
Ognerok

## 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?

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.

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?

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.

2x=3y => 24=3y => y=8, not 6!

N:D = 2:3
total ratio =5

thus, number of N = 2/5 * 20. I think you can do the rest.

## What is a simple ratio problem?

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.

## How is a simple ratio problem typically presented?

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".

## What are the steps for solving a simple ratio problem?

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.

## What are some common mistakes when solving simple ratio problems?

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.

## How can simple ratio problems be applied in real-life situations?

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.

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