Rational Number Word Problems

​Rational Number Word Problems

By Heidi Arwood

Scenario

You're planning a pizza party for your class of 30 students. You need to figure out costs, discounts, and food distribution using rational numbers.Each pizza costs $12.50. A local shop offers a 20% discount for orders over 10 pizzas. You need one pizza for every 3 students. How much will you spend?

Use BRAVE

​Break Down Problem/Read

You're planning a pizza party for your class of 30 students. You need to figure out costs, discounts, and food distribution using rational numbers.Each pizza costs $12.50. A local shop offers a 20% discount for orders over 10 pizzas. You need one pizza for every 3 students. How much will you spend?

Use BRAVE

Record by highlighting keywords/phrases

You're planning a pizza party for your class of 30 students. You need to figure out costs, discounts, and food distribution using rational numbers. Each pizza costs $12.50. A local shop offers a 20% discount for orders over 10 pizzas. You need one pizza for every 3 students. How much will you spend?

Use BRAVE

​Apply a strategy

Set up an Step-by-Step Expressions:
1. How many pizzas do you need? 1 pizza =3 people so 30/3= 10 pizzas.
2. Find the cost of 10 pizzas: 10 x $12.50= $125
3. Converting percentage to decimal and multiply by total price: 20% to 0.2 (Discount). $125 x 0.2 = $25 off.
4. Apply discount: $125-$25= $100

Use BRAVE

​Verify by checking

Does it make sense that it will cost $100 for 10 pizzas with a 20% discount?

Oringinal cost: $125
Discount: 20% = $25 off

$125-25 = $100

Use BRAVE

Explain the reasoning or answer

How much money will you spend if you are throwing a party for 30 students? You will spend $125 without the discount. Since we are buying 10 pizzas, then I qualify for the 20% discount. My totaly cost will be $100 with a 20% discount.

Remember Math Keywords

Multiple Choice

Regular price: $174. Discount: 40%. Find the sale price. Round to nearest cent if necessary.

• $104.40
• $140.40
• 104.4
• 69.6

Multiple Choice

 If you receive 25% off an item costing $22.00, how much money do you save?

• $ 5.50
• $ 4.25
• $6.00
• $7.35

Multiple Choice

Mrs. Adele is buying a new tie from Macy's. It says the tie costs $15.00 but there is a sign above it that says 25% off. How much will the tie cost?

• $3.75

• $18.75

• $15.25

• $11.25

Multiple Choice

Sarah and Mike are gathering books for a book drive. Mike collected 3/4 as many books as Sarah did. If Sarah collected 16 books, how many books did Mike collect?

• 12 books

• 20 books

• 10 books

• 14 books

Multiple Choice

A sheet of paper is 0.5 cm thick. If Lily piles 6 sheets of paper on top of each other, what will be the total thickness of the pile?

• 3 cm

• 6.5 cm

• 0.11 cm

• 1.1 cm

Multiple Choice

Maria deposited $25, $55 and $45 into her checking account. She then wrote checks for $20, $12 and $5. What is her current balance in her account.

• $75

• $127

• $88.00

• Neither is correct

Multiple Choice

In February, John starts with off with $60 in his checking account. During the month he deposits $500 and writes checks totaling $80. At the end of the month, he decides to take a 1/4 of the money left in the account and deposit it into his savings account. How much did he deposit in his savings account?

• $300

• $560

• $120

• neither is correct

Multiple Choice

John accidentally spent more than he had in his account, resulting in a balance of - $$48.75$$ . His bank then charged him an overdraft fee of $$\$10$$ . How much money does John need to deposit to bring his account balance back to $0?

• $58.75

• $68.75

• $48.75

• $30.00