document.write( "Question 3959: mr.armstrong is saving his change in al large glass jar to buy a new hockey stick. yesterday,he counted the coins in the jar and found out that he only had quarters and dimes. there were a total of 345 coins.if he saved $75.90 how many quartes and dimes would he have?\r
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document.write( "plz show complete solution. thanks \n" );
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Algebra.Com's Answer #2784 by guapa(62)![]() ![]() ![]() You can put this solution on YOUR website! We have a total amount of 345 coins.Let q represent the number of quarters. Then 345-q represents the number of dimes. Use the following guideline to set up the equation: \n" ); document.write( "Value of quarters in cent + Value of nickels in cents = Total value in cents \n" ); document.write( " 25q + 10(345-q) = 7590 \n" ); document.write( "(25 because 1 quarter has 25 cents and 10 because 1 dime has 10 cents) \n" ); document.write( "Now let's solve this equation: \n" ); document.write( "25q+10(345-q)=7590 \n" ); document.write( "25q+3450-10q=7590 Now just combine like terms and substract 3450 from both sides. \n" ); document.write( "15q+3450-3450=7590-3450 \n" ); document.write( "15q=4140 \n" ); document.write( "q= 4140/15 \n" ); document.write( "q=276 \n" ); document.write( "If q= 276, then 345-276=69, so he has 276 quarters and 69 nickels \n" ); document.write( "Check: \n" ); document.write( "276*25=6900/100 = $69 \n" ); document.write( "69*10=690/100 = $6.90 \n" ); document.write( "$69,00 + $6.90 = $75.90\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |