document.write( "Question 692368: I need help on 5 questions on my math problems my teacher made up. Please help me solve this problem that includes an equation and a explanation please.
\n" ); document.write( "1. Harry buys American cheese at a deli. He buys 1/4 pound of American cheese at a cost of x dollars per pound. IF he pays $12.25 for 2.5 pounds of American cheese, what is the cost per pound?
\n" ); document.write( "2. Charlie has a $30 smoothie gift card. Each time he uses the card to buy a smoothie, $2 is deducted from his card. If the balance on his card today is $12, how many smoothies has he purchased with the card?
\n" ); document.write( "3. Beth and David are using leather to make bracelets. Beth uses y inches of leather. David has 7 more inches of leather than Beth. They have a combined total of 77 inches of leather. What is the value of y?
\n" ); document.write( "4.The number of birds that Vikram saw on a nature walk is 1 less than 4/5 the number of birds that Shaya saw. Shaya saw a total of 10 birds. How many birds did Vikram see?
\n" ); document.write( "7. Julio bought a stereo that cost $412 and a CD storage case that cost x dollars. He paid the clerk $500 in cash and received $3 in change. Assuming there was no tax, how much did the CD storage case cost?
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Algebra.Com's Answer #427315 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
A fifth grader would solve the problems without equations, but let's inject some x's (and y's) into the solutions, just for algebra practice.
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\n" ); document.write( "1. \"x\" = cost of American cheese, per pound (in $)
\n" ); document.write( "The cost for 2.5 pounds of American cheese at $\"x\" per pound is \"2.5x\"
\n" ); document.write( "IF Harry has to pay $12.25 for 2.5 pounds of American cheese, then
\n" ); document.write( "\"2.5x=12.25\" --> \"2.5x%2F2.5=12.25%2F2.5\" --> \"highlight%28x=4.9%29\"
\n" ); document.write( "For American cheese, the cost per pound is $\"highlight%284.90%29\"
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\n" ); document.write( "2. Charlie has bought \"x\" smoothies at $2 per smothie,
\n" ); document.write( "so $\"2x\" has been deducted from his initial $30 smoothie gift card.
\n" ); document.write( "His balance today is $\"30-2x\"
\n" ); document.write( "If the balance on his card today is $12,
\n" ); document.write( "\"30-2x=12\" --> \"30-2x-30=12-30\" --> \"-2x=-18\" --> \"-2x%2F%28-2%29=-18%2F%28-2%29\" --> \"highlight%28x=9%29\"
\n" ); document.write( "He has purchased \"highlight%289%29\" smoothies with the card.
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\n" ); document.write( "3. Beth uses \"y\" inches of leather.
\n" ); document.write( "David has \"7\" more inches of leather than Beth, so he has \"y%2B7\" inches of leather.
\n" ); document.write( "Their combined total is \"y%2B%28y%2B7%29=2y%2B7\" inches of leather.
\n" ); document.write( "They have a combined total of \"77\" inches of leather, so
\n" ); document.write( "\"2y%2B7=77\" --> \"2y%2B7-7=77-7\" --> \"2y=70\" --> \"2y%2F2=70%2F2\" --> \"highlight%28y=35%29\"
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\n" ); document.write( "4. On a nature walk, Vikram saw \"x\" number of birds,
\n" ); document.write( "and that number is 1 less than 4/5 the number of birds that Shaya saw.
\n" ); document.write( "Shaya saw a total of 10 birds.
\n" ); document.write( "So Vikram saw \"x=%284%2F5%2910-1\" --> \"x=40%2F5-1\" --> \"x=8-1\" --> \"highlight%28x=7%29\"
\n" ); document.write( "Vikram saw \"highlight%287%29\" birds
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\n" ); document.write( "7. Julio bought a stereo that cost $\"412%29%29%29+and+a+CD+storage+case+that+cost+%7B%7B%7Bx\" dollars.
\n" ); document.write( "The total he had to pay was $\"412%2Bx\"
\n" ); document.write( "Since he paid the clerk $\"500\" in cash,
\n" ); document.write( "he expected to receive
\n" ); document.write( "$\"500-%28412%2Bx%29\" in change.
\n" ); document.write( "He received $\"3\" in change, and there was no tax, so
\n" ); document.write( "\"500-%28412%2Bx%29=3\" --> \"500-412-x=3\" --> \"88-x=3\" --> \"88-x-88=3-88\" --> \"-x=-85\" --> \"highlight%28x=85%29\"
\n" ); document.write( "The CD storage case cost $\"highlight%2885%29\"
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