### About Bill & Coin Word Problems:

When solving a word problem, the most important step is to understand the main objective. This gives the student a laser focus. We can then filter through all of the information, leading to an equation that can be solved. We then provide an answer and check to make sure it is reasonable.

Test Objectives

- Demonstrate the ability to read a word problem and understand the main objective
- Understand how to set up an equation based on the information given in a word problem
- Demonstrate the ability to check the solution to a word problem

#1:

Instructions: solve each word problem.

a) Melissa, a hardware store clerk, has $336 in $1 bills, $10 bills, and $20 bills only. Melissa has double the number of $1 bills as $20 bills. Additionally, if the number of $1 bills was decreased by 1, there would be 5 times as many $1 bills as $10 bills. How many $1 bills, $10 bills, and $20 bills does Melissa have?

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#2:

Instructions: solve each word problem.

a) Thomas, a local street food vendor, has $467 in his bag. The bag contains $1 bills, $5 bills, and $10 bills only. The number of $1 bills is 1/3 of the number of $10 bills. Additionally, the number of $5 bills is 7 more than the number of $1 bills. How much of each type of bill ($1 bill, $5 bill, and $10 bill) is present in his bag?

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#3:

Instructions: solve each word problem.

a) Helen visited the laundromat, which only accepts coins. She spent a total of $8.40 using quarters, nickels, and dimes only. She spent twice the number of dimes as quarters and 3/2 the number of nickels as dimes. How much of each type of coin did Helen use at the laundromat?

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#4:

Instructions: solve each word problem.

a) Garfield High School sold $7500 worth of tickets to their basketball game. They received all payments in cash and with $20 bills, $5 bills, and $1 bills only. The number of $20 bills received was three times the number of $5 bills received. Additionally, if the number of $20 bills received had been 50 less, the number of $20 bills would be ¼ the number of $1 bills. How many of each type of bill ($20 bill, $5 bill, $1 bill) did they receive?

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#5:

Instructions: solve each word problem.

a) Maggie has a piggy bank with $53.14. Her piggy bank has pennies, nickels, dimes, and quarters only. The piggy bank has 9 less nickels than pennies, and double the number of dimes as nickels. Lastly, if the number of quarters was reduced by 1, there would be 6 times as many quarters as nickels. How much of each type of coin is in the piggy bank?

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Written Solutions:

#1:

Solutions:

a) 13 - $20 bills, 5 - $10 bills, and 26 - $1 bills

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#2:

Solutions:

a) 36 - $10 bills, 19 - $5 bills, and 12 - $1 bills

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#3:

Solutions:

a) 14 - quarters, 28 - dimes, and 42 - nickels

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#4:

Solutions:

a) 300 - $20 bills, 100 - $5 bills, and 1000 - $1 bills

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#5:

Solutions:

a) 181 - quarters, 60 - dimes, 30 - nickels, and 39 - pennies