SOLUTION: A vending machine contains dimes and quarters only. There are 4 more dimes than quarters. If x represents the number of quarters, write an algebraic expression in terms of x that r

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Question 1041790: A vending machine contains dimes and quarters only. There are 4 more dimes than quarters. If x represents the number of quarters, write an algebraic expression in terms of x that represents the value of all the coins in the vending machine in cents. Simplify the expression.
Answer by stanbon(75887) About Me  (Show Source):
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A vending machine contains dimes and quarters only. There are 4 more dimes than quarters. If x represents the number of quarters, write an algebraic expression in terms of x that represents the value of all the coins in the vending machine in cents. Simplify the expression.
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d = x + 4
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# of coins = # of dimes + # of quarters::
# of coins = x+4 + x = 2x + 4
Value of coins = value of dimes + value of quarters
Value of coins = 10(x+4) + 25(x) = 10x+40+25x = (35x + 40) cents
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Cheers,
Stan H.
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