SOLUTION: A collection of dimes and nickels is worth $1.70. There are 21 coins in all. How many each coin are there?
Please I really need your help because I will recite this tomorrow hop
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Please I really need your help because I will recite this tomorrow hop
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Question 1166534: A collection of dimes and nickels is worth $1.70. There are 21 coins in all. How many each coin are there?
Please I really need your help because I will recite this tomorrow hoping for your help really thank you! Answer by ikleyn(52855) (Show Source):
Let x be the number of dimes.
Then the number of nickels is (21-x) coins.
With it, we can write the total money equation
10x + 5*(21-x) = 170 cents
(5 is standing for the dimes worth and 10 stands for the dimes worth).
From the equation,
10x + 105 - 5x = 170
10x - 5x = 170 - 105
5x = 65
x = 65/5 = 13.
ANSWER. 13 dimes and the rest coins (21-13) = 8 are nickels.
CHECK. 13*10 + 8*5 = 170 centsa = $1.70. ! Correct !
Solved.
There are other ways to solve the problem, but this one is one of the standard Algebra methods.
You will find there the lessons for all levels - from introductory to advanced,
and for all methods used - from one equation to two equations and even without equations.
A convenient place to quickly observe these lessons from a "bird flight height" (a top view) is the last lesson in the list.
Read them and become an expert in solution of coin problems.
