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Question

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 mm nickels and nn dimes

Solution

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Given verbal statement is `the amount of money (in cents) represented by mm nickels and nn dimes'.

To find the amount of money (in cents) represented by mm nickels, we have to multiply the value of a nickel in cents with number of nickels.

Now the value of nickel is 55 cents per nickel and we have mm nickels. So the amount of money (in cents) represented by mm nickels is 5m5m cents.

To find the amount of money (in cents) represented by nn dimes, we have to multiply the value of a dime in cents with number of dimes.

Now the value of dime is 1010 cents per dime and we have nn dimes. So the amount of money (in cents) represented by nn dimes is 10n10n cents.

Thus the amount of money (in cents) represented by mm nickels and nn dimes is 5m+10n5m + 10n cents.

Therefore the algebraic expression of the given verbal statement is 5m+10n5m + 10n.

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