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.
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?
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?
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?
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?
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?
Answer by KMST(5328)   (Show Source):
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.
1.  = cost of American cheese, per pound (in $)
The cost for 2.5 pounds of American cheese at $ per pound is 
IF Harry has to pay $12.25 for 2.5 pounds of American cheese, then
 -->  --> 
For American cheese, the cost per pound is $
2. Charlie has bought smoothies at $2 per smothie,
so $ has been deducted from his initial $30 smoothie gift card.
His balance today is $
If the balance on his card today is $12,
 -->  -->  -->  --> 
He has purchased  smoothies with the card.
3. Beth uses  inches of leather.
David has  more inches of leather than Beth, so he has  inches of leather.
Their combined total is  inches of leather.
They have a combined total of  inches of leather, so
 -->  -->  -->  --> 
4. On a nature walk, Vikram saw number of birds,
and that number is 1 less than 4/5 the number of birds that Shaya saw.
Shaya saw a total of 10 birds.
So Vikram saw  -->  -->  --> 
Vikram saw  birds
7. Julio bought a stereo that cost $ dollars.
The total he had to pay was $
Since he paid the clerk $ in cash,
he expected to receive
$ in change.
He received $ in change, and there was no tax, so
 -->  -->  -->  -->  --> 
The CD storage case cost $
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