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Kendra has $2.75 in dimes and nickels. If she has twice as many as nickels, how many of each coin does she have?
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Solution
Kendra is VERY SMART. She prefers to solve the problem MENTALLY, instead of using equations - when and where it is reasonable . . .
Therefore, she groups ( ! MENTALLY ! ) her coins in sets, each containing (1 nickel and 2 dimes).
According to the condition, she can do it (!)
Then each group is worth 2*10+5 = 25 cents; hence, the number of groups is = 11.
Therefore, the ANSWER is: there are 11 nickels and 22 dimes in Kendra's collection.
Solved.
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For coin problems and their detailed solutions see the lessons in this site:
- Coin problems
- More Coin problems
- Solving coin problems without using equations
- Kevin and Randy Muise have a jar containing coins
- Typical coin problems from the archive
- Three methods for solving standard (typical) coin word problems
- More complicated coin problems
- Solving coin problems mentally by grouping without using equations
- Non-typical coin problems
- Santa Claus helps solving coin problem
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.
Read them attentively and become an expert in this field.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Coin problems".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.