Percent Reasoning REVIEW

7th Grade Math

UNIT 3

Percent Reasoning REVIEW

REMEMBER... there are two ways to find the percent of a number:

1) Set up a proportion:   $\frac{\%}{100}=\frac{Part\ \left("is"\right)}{Whole\ \left("of"\right)}$  

        25% of 500:    $\frac{25}{100}=\frac{n}{500}\ \ →\ \ \ n\ =\ \frac{\left(25\right)\left(500\right)}{100}\ \ =\ 125$ 

*****OR*****

2) Multiply the whole by the percent (written as a decimal)

       25% of 500  = 0.25  $\times$  500 = 125

% Increase: Markup, Including Tax or Tip:

Add the % increase to 100%, then multiply:

Ex) $300 with a 45% markup → 300(145%) = 300 (1.45) = 435                            $435 is the price after the markup

****Work it in reverse to find the original price***

Selling price is $512.  What was the price before a 25% increase?

 $\frac{512}{\left(1.25\right)}=409.6$     Original price: $409.60

Multiple Choice

Milk has increased in price by 6% in recent years. If today's price is approximately $3.60 how much was the ORIGINAL price of milk BEFORE the price increase?

• $0.22

• $0.21

• $3.40

• $3.54

Fill in the Blanks

Part 1:

Eliana earned $225 from a summer job to buy new clothes for school. She found several items she would like to buy, but is trying to decide if she has enough money to buy all the items she likes. She found two pairs of shorts for $30 each and four shirts with an average cost of $15 per shirt. She will have to pay 6.5% sales tax.

If she buys all the items, how much SALES TAX will she have to pay?

Fill in the Blanks

Part 2:

Eliana earned $225 from a summer job to buy new clothes for school. She found several items she would like to buy, but is trying to decide if she has enough money to buy all the items she likes. She found two pairs of shorts for $30 each and four shirts with an average cost of $15 per shirt. She will have to pay 6.5% sales tax.

If she buys all the items, what is the TOTAL COST of her purchase including sales tax?

Fill in the Blanks

Isaiah and his family went out for dinner for his birthday. The cost of the meal before sales tax is $82.50. The family decides to tip 20% for the good service they received.

How much did Isaiah's family leave AS A TIP for his birthday meal?

Fill in the Blanks

Cayden earns a weekly salary of $360 plus a commission of 7.5% on sales at the game store where he works.

How much would he earn in one week if he sold $600 worth of merchandise?

Multiple Choice

Samuel wants to buy a skateboard that usually sells for $95.99 . The store is having a sale and all merchandise is DISCOUNTED by 16%.

What is the TOTAL COST of the scateboard if Samuel pays 6.5% sales tax?

• $90.48

• $80.63

• $85.87

• 106.45

Multiple Choice

A discount store purchased iphone chargers for $6.00 per charger. The store marked up the price of the charger by 35%.

What is the selling price of one charger?

• $2.10

• $41.00

• $6.35

• $8.10

Simple Interest:

Interest = Principal $\times$  Rate  $\times$  Time

Fill in the Blanks

Jackson borrows $2,100 to buy new furniture for his dorm room. If the simple interest rate is 2.5% how much interest will he have to pay in 3 years?

Fill in the Blanks

Diana ate at her favorite restaurant, the Red Fish. She received excellent service from the waitstaff and decided to leave a 20% tip.

Before tip, her bill came to $80.

What is the total cost of the meal INCLUDING the tip?