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Write an algebraic expression that represents the specified quantity in the verbal statement, and simplify if possible. The amount of money (in cents) represented by dimes and quarters
Solution
VerifiedGiven verbal statement is `the amount of money (in cents) represented by dimes and quarters'.
To find the amount of money (in cents) represented by dimes, we have to multiply the value of a dime in cents with number of dimes.
Now the value of dime is cents per dime and we have dimes. So the amount of money (in cents) represented by dimes is cents.
To find the amount of money (in cents) represented by quarters, we have to multiply the value of a quarter in cents with number of quarter.
Now the value of nickel is cents per quarter and we have quarters. So the amount of money (in cents) represented by quarters is cents.
Thus the amount of money (in cents) represented by dimes and quarters is cents.
Therefore the algebraic expression of the given verbal statement is .
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