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Piggy Bank

Math brain teasers require computations to solve.

 

Puzzle ID:#676
Fun:*** (2.16)
Difficulty:** (1.34)
Category:Math
Submitted By:vikass***
Corrected By:Dave

 

 

 



You have stealthily raided your small child's piggy bank. You feel guilty as you count the money. You have the same number of dimes and quarters, totaling exactly $2.45. When you turn honest and put it back, how many of each coin will you need to replace? (Note that your child keeps a record of how much she puts in and in what denomination)

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Answer

Let x represent the number of dimes, which is the same as the quarters. Then 10x represents the value of the dimes (x times 10 cents), and 25x represents the value of the quarters, in cents.

10x + 25x = 245
35x = 245
x = 7

Therefore, there were 7 dimes and 7 quarters totaling exactly $2.45

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Comments

Sane**
Feb 17, 2005

You have the same number of dimes and quarters, totaling exactly $2.45.

10(x) + (25)x = 24 500
35x = 24500
x = 700 (/100)

Nice teaser.
phrebh*us*
Jun 27, 2005

Why don't you just look at your child's record of it and give the math a skip?
SPUTNIK2Aus*
Feb 03, 2006

good job!
TehIgnored*us*
Mar 29, 2006

lol...i just used trial and error....i got lucky using 7 the first time....
kayleeskittiesAus**
Aug 06, 2006

Wouldn't you just put the same coins back?
Jimbo*au*
Apr 10, 2007

What's a dime?
javaguru*us*
Jan 29, 2009

How does 245/35 = 7 become a teaser? Are there no standards?

And how does 245/35 get rated 2.15 on the fun scale and well over 1 on the difficulty scale?



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