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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)

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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 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 Jun 27, 2005 Why don't you just look at your child's record of it and give the math a skip? SPUTNIK2 Feb 03, 2006 good job! TehIgnored Mar 29, 2006 lol...i just used trial and error....i got lucky using 7 the first time.... kayleeskitties Aug 06, 2006 Wouldn't you just put the same coins back? Jimbo Apr 10, 2007 What's a dime? javaguru 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?