Tape Diagrams
Double Number lines
Equations
Word Problems
Solve any way
100
What is the percent change from x to y?
Decrease by 25%
100
What is 120% of 500?
600
100
A shirt is 15% off, what number would you multiply the original price by to find the sale price?
100%-15%= 85% 0.85
100
A sports store near Big Bear Lake is having a 20% off sale on all water skis. What will the sale price be for water skis which regularly sell for $250?
Solve using a tape diagram
50 50 50 50 50
50 50 50 50
$200
100
Lowes in Henrietta is having a one-day 20% off sale. What will the sale price be for an exterior door which regularly sells for $360?
100%-20%=80%
y=.8(360)
y=288
200
If you had to find a percent increase by 20%, how many boxes would you have to break the original tape diagram into?
100/20
5 boxes
200
In may a plant was 12 inches tall. By June the plant grew 50% more. What would we have to count up by in the double number line?
12/2= 6
200
A savings account increases by 10% every year. what would the equation be to determine the amount in the account after a year (y) given the initial amount in the account (x).
y=1.10x
200
A stereo is $75. It is marked down 15%, find the sale price?
Use an equation to solve.
y=.85(75)
y= 63.75
200
The amount of jolly ranchers sold in a bag increased 25%. If the original amount sold was 16 ounces, how many ounces are in a bag now?
100/25= 4
16/4 =4
4 4 4 4
4 4 4 4 4 = 20 oz
300
How much would each box represent if you had to find 25% of 80
100/25= 4 so 4 boxes
80/4 boxes= 20 per box
300
There are 75 grams of sugar in a brownie. The new version claims to have 60% less calories. How many calories does it have?
75/5=15, count up by 15
100%-60%=40%
30 calories
300
The equation y=1.20x represents the amount of cereal in a new box (y) compared to the old box (x). What percentage more does the new box have?
20% more
300
An employee’s hourly wage increased by 20%. If their original wage was $20 per hour, what is the employee’s new wage?
Solve using the a double number line.
0 4 8 12 16 20 24
0% 20% 40% 60% 80% 100% 120%
100%+20%=120%$24
300
An LCD TV is on sale for 24% off. If the original price was $800, find the sale price.
100-24=76%
y=0.76(800)
y=608
400
Jada takes 60 minutes to complete her homework, Andre takes 75% more time. How much time does Andre take to complete his homework?
60+15(3)= 60+45= 105 minutes
400
The price of a pair of shoes is $120. On black Friday they are on sale for 25% off. What is the new price of the shoes?
120/4= 30
0 30 60 90 120
0% 25% 50% 75% 100%
100%-25%= 75%
$90
400
A pair of designer sneakers was purchased for $120. Since they were purchased, their price has increased by 15%. Set this up using an equation to find the new price.
100%+15%=115% 1.15
y=1.15(120)
y=138
400
The purchase price of an iPad is $650. What is the total price if the sales tax rate is 8%?
Solve using an equation.
y=1.08(650)
y=702
400
An employee’s salary for Alar Services is $37,500. Next year, she will get an 8% increase in salary. How much is her new salary?
y=1.08(37,500)
y=40,500
500
The population of bears in a park is 252. The next year the population has decreased by 75%. What is the new population of bears?
252/4
63 bears
500
Student government sold 60 cups of popcorn in their first sale and 20% more in their second sale. How much popcorn did they sell in the second sale?
60/5= 12, counting up by 12
0 12 24 36 48 60 72
0% 20% 40% 60% 80% 100% 120%
100%+20% = 120%
72 Cups
500
Jeremey bought a car for $7,500. Over a year, the cars value decreased by 30%. Use an equation to determine the new value of the car.
100%-30%=70% 0.7
y=0.7(7,500)
y=5,250
500
A store marks up merchandise 40% for profit. If an item costs the store $12, what is the selling price?
Solve using a tape diagram.
12/5= 2.4
2.4 2.4 2.4 2.4 2.4
2.4 2.4 2.4 2.4 2.4 2.4 2.4 =16.8
100%+40%=140%
500
A runner ran 7 miles her first day of training and ran 30% more her second day. How much did she run the second day?
y=1.3(7)
y=9.1 miles