Work the problem involving monetary values. See Example.EXAMPLE Solving a Money Denominati...

Work the problem involving monetary values. See Example.

EXAMPLE Solving a Money Denominations Problem

A bank teller has 25 more $5 bills than $10 bills. The total value of the money is $200. How many of each denomination of bill does she have?

Step 1 Read the problem. We must find the number of each denomination of bill.

Step 2 Assign a variable.

Let x = the number of $10 bills.

Then x + 25 = the number of $5 bills.

Number of Bills	Denomination	Total Value
x	10	10x
x + 25	5	5(x + 25)

Organize the given information in a table.

Step 3 Write an equation. Multiplying the number of bills by the denomination gives the monetary value. The value of the tens added to the value of the fives must be $200.

Step 4 Solve.

Step 5 State the answer. The teller has 5 tens and 5 + 25 = 30 fives.

Step 6 Check. The teller has 30 − 5 = 25 more fives than tens. The value of the money is

5($10) + 30($5) = $200, as required.

Harriet Amato operates a coffee shop. One of her customers wants to buy two kinds of beans: Arabian Mocha and Colombian Decaf. If she wants twice as much Mocha as Colombian Decaf, how much of each can she buy for a total of $87.50? (Prices are listed on the sign.)