Coin Word Problems Algebra

As we are studying more on algebra. let me also show you the importance of algebra with coin word problems algebra.

Introduction to Algebra:-

Algebra is the most important branch of the mathematics which concerns the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with the geometry and analysis, topology also the combinatory, and number theory, algebra is one of the main branches of pure mathematics

Algebra coin word problem:-

Let me also help you go through with the sample problems on algebra coin word problems.

Problem-

A Box contains the equal number of nickel, dime and pennies. The coins total $3.36. How many of every kind of coin does the boxhold?

Solution:

While there is the equal number of every kind of coin, here we use only one variable to place for each;

Number of nickels: n

Number of dimes: n
Number of pennies: n

The cost of the coins is the amount of cents for every coin times the number of that kind of coin, so

Cost of nickels: 5n
Cost of dimes: 10n
Cost of pennies: 1n

The sum of value is $ 3.36, so we will add the above set of value and equal to 336 cents, then solve to find the value of n,

5n +10n+1n = 336
16n = 336
n = 21

So there is 21 of every kind of coin the box.