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# Word Problems About Money Practice Problems

based on 1 rating
By McGraw-Hill Professional
Updated on Sep 27, 2011

## Money Word Problems Practice Problems

### Set 1: Introduction to Money Word Problems

To review Word Problems about Money, go to Word Problems About Money Help

#### Practice

1. A vending machine has \$19.75 in dimes and quarters. There are 100 coins in all. How many dimes and quarters are in the machine?
2. Ann has \$2.25 in coins. She has the same number of quarters as dimes. She has half as many nickels as quarters. How many of each coin does she have?
3. Sue has twice as many quarters as nickels and half as many dimes as nickels. If she has a total of \$4.80, how many of each coin does she have?

#### Solutions

1. Let x represent the number of dimes. Then 100 – x is the number of quarters. There is 0.10 x dollars in dimes and 0.25(100 – x ) dollars in quarters.

There are 35 dimes and 100 – x = 100 – 35 = 65 quarters.

2. Let x represent the number of quarters. There are as many dimes as quarters, so x also represents the number of dimes. There are half as many nickels as dimes, so (or 0.50 x , as a decimal number) is the number of nickels.

There are 6 quarters, 6 dimes, 0.50 x = 0.50(6) = 3 nickels.

3. As both the number of quarters and dimes are being compared to the number of nickels, let x represent the number of nickels. Then 2 x represents the number of quarters and (or 0.50 x ) is the number of dimes.

There are 8 nickels, 0.50 x = 0.50(8) = 4 dimes, and 2 x = 2(8) = 16 quarters.

### Set 2: Money Word Problems - One Quanitty with Different Investments and Interest Rates

To review money problems involving one quantity divided into two investments, go to Word Problems About Money Help

#### Practice

1. A businessman invested \$50,000 into two funds which yielded profits of and . If the total profit was \$8520, how much was invested in each fund?
2. A college student deposited \$3500 into two savings accounts, one with an annual yield of and the other with an annual yield of . If he earned \$171.75 total interest the first year, how much was deposited in each account?
3. A banker plans to lend \$48,000 at a simple interest rate of 16% and the remainder at 19%. How should she allot the loans in order to obtain a return of ?

#### Solutions

1. Let x represent the amount invested at . Then 50,000 – x represents the amount invested at 18%. The profit from the account is 0.165 x , and the profit from the 18% investment is 0.18(50,000 – x ). The sum of the profits is \$8520.

The amount invested at is \$32,000, and the amount invested at 18% is 50,000 – x = 50,000 – 32,000 = \$18,000.

2. Let x represent the amount deposited at . Then the amount deposited at is 3500 – x . The interest earned at is 0.0475 x ; the interest earned at is 0.0525(3500 – x ). The sum of these two quantities is 171.75.

\$2400 was deposited in the account, and 3500 – x = 3500 – 2400 = \$1100 was deposited in the account.

3. Let x represent the amount to be loaned at 16%, so 48,000 – x represents the amount to be loaned at 19%. The total amount of return should be of 48,000 which is 0.185(48,000) = 8880.

\$8000 should be loaned at 16%, and 48,000 – x = 48,000 – 8000 = \$40,000 should be loaned at 19%.

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