a good ole review
20 marbles are in a bag. 14 are green, 3 are red, 1 is purple, and the rest are yellow. Write a ratio of non-green marbles to total marbles
non-green : total marbles
6 : 20 -> we can simplify!!
3 : 10
What is 72% of 19?
Write a proportion and solve. Round to the nearest tenth!
x/19 = 72/100
100x = 1368
100x/100 = 1368/100
x = 13.68
x = 13.7
Charlie tipped his waiter 24%
Charlie's subtotal is $17.87. What will his total be after he tips? Round to the nearest cent.
17.87 * .24 = 4.288 --> $4.29
17.87 + 4.29 = $22.16
CALCULATORS OK
Helen bought a house from Tabor for $100,000. She then saw that Dee was looking for a house. Helen charged Dee $112,399 for house she just bought. What is the percent increase Helen charged Dee? Round to the nearest percent.
112,399 - 100,000 = 12,399 <-- difference
12,399 / 100,000 = 0.12399 <-- difference / OG
0.12399 * 100 = 12.399 -> 12% increase
What is 3% of 7?
1% of 7 is 0.07
3% --> 0.07 * 3 = 0.21
3% is 0.21
9.5 can be classified as a(n)...
rational number
13 is what percent of 82? Round to the nearest tenth.
13/82 = x/100
82x = 1300
82x/82 = 1300/82
x = 15.85 --> 15.9%
Annabel, Ben, and Bella went to Busch Gardens. They bought 3 pretzels for $8.49 each. If they paid altogether and sales tax was 6.4%, what was the total cost?
8.49 * 3 = 25.47 <-- Cost for 3 pretzels
25.47 * .064 = 1.63 <-- Sales Tax
25.47 + 1.63 = 27.10 <-- Total Cost
Brayden and Lee were playing basketball. In all, 80 points were scored. Lee scored 40% of the points. If Lee scored 4 3-pointers, and the rest were normal shots, how many points did he score from normal shots?
40% of 80
4*8 = 32 Lee's total points
4 3-pointers = 12 total points
32 - 12 = 20
20 points
Create a tape diagram - what is 60% of 55?
Five section, each section has a value of 11. Therefore 60% of 55 is 33.
Camryn is making flower arrangements. She has 4 sunflowers, 12 roses, and 28 daffodils. What is the greatest number of arrangements she can make if she has equal amounts of each type of flower in each arrangement? How many of each flower will be in the arrangement?
4: 1, 2, 4
12: 1, 2, 3, 4, 6, 12
28: 1, 2, 4, 7, 14, 28
4 total arrangements with 1 sunflower, 3 roses, and 7 daffodils in each.
In 2018 Birkenstocks cost $87.95. In 2022 they cost $99.95. What is the percent increase/decrease? Round to the nearest tenth.
99.95 - 87.95 / 87.95
12 / 87.95
0.1364
13.64% = 13.6% increase
Start: 9.23oz
End: 5.87oz
What is the percent increase/decrease? Round to the nearest percent.
9.23 - 5.87 / 5.87
3.36 / 9.23 = 0.364
0.364 * 100 = 36.4% decrease
CALCULATORS OK
Sheriff Callie's chickens are on the run! She had 150 but she now has 90. After a search party, Sheriff Callie finds 23% of the missing chickens. How many chickens are still on the run? Round to the nearest chicken!
150 - 90 = 60 <-- # of chickens on the run
23% of 60
x/60 = 23/100
100x = 1380
100x/100 = 1380/100
x = 13.8 <-- MUST round down despite rounding rules
Sheriff Callie finds 13 chickens
60 - 13 = 47 chickens left on the run!
A tape diagram has four sections. If the entire tape diagram is 104, what is the value of each section?
104/4 = 26
Point C is located at (0, -4)
What is C' after point C has been translated right 8 and down 3 then reflected across the x-axis?
C (0, -4)
Translate -> (0 + 8, -4 - 3)
C' -> (8, -7)
Reflect across x-axis -> (8, - -7)
C' (8, 7)
**DOUBLE POINTS**
47% of the 6th grade said they prefer going skiing than going to the beach. There are 53 6th graders at St. Michael's. How many prefer going to the beach? Write a proportion and solve. Round to the nearest student.
53% prefer the beach bc 100 - 47 = 53
53% of 53
x/53 = 53/100
100x = 2809
100x/100 = 2809/100
x = 28.09
x = 28 sooo... 28 6th graders said they prefer the beach.
Landon bought a beach umbrella for $46.85. He has a coupon for 15% off and sales tax is 5.7%. What is his total cost?
46.85 * .15 = 7.03 <-- discount
46.85 - 7.03 = 39.82 <-- price w/ discount applied
39.82 * .057 = 2.27 <-- sales tax
39.82 + 2.27 = 42.09 <-- total cost
CALCULATORS OK
Toler and Clay are buying a huge bag of candy. The total cost of the candy is $38.76. If Clay pays for 57% of the total cost, how much will Toler pay? Round to the nearest cent.
Clay: 57%
Toler: 100 - 57 = 43%
43% of 38.76
x/38.76 = 43/100
100x = 1666.68
100x/100 = 1666.68/100
x = 16.666 --> $16.67
A candle is on sale for $18. What is the percent discount if the original price was $24?
25%
-(-1.2 - 9.3) + 42 - 9(3)
Answer as a fraction
-(-1.2 - 9.3) + 42 - 9(3)
-(-10.5) + 16 - 9(3)
10.5 + 16 - 27
26.5 - 27
-0.5 = -1/2
Two dozen donuts are brought to school. 12% of the donuts have sprinkles, 24% of the donuts have cream filling and the rest are regular glazed. If Haydn eats 3 glazed donuts, how many glazed donuts are left? Round your answer to the nearest donut.
36% are not glazed so 64% are glazed
x/24 = 64/100
100x = 1536
100x/100 = 1536/100
x = 15.36 --> 15.36 donuts are glazed
15.36 - 3 = 12.36 --> donuts left, roughly 12 donuts
Mae and Hadley are going to the movies. They decide to pay together because they have a coupon for 15% ticket sales over $20. Before the coupon is applied the tickets cost $28.31. Then they go buy popcorn and drinks. If the subtotal of $19.20 on popcorn and drinks, and sales tax is 7%, how much will they each pay if the split the entire bill equally?
Tickets: 28.31 * .15 = 4.25
28.31 - 4.25 = 24.06 <-- cost of tickets
Popcorn/Drinks: 19.20 * .07 = 1.34 <-- sales tax
19.20 + 1.34 = 20.54 <-- cost of popcorn/drinks after tax
24.06 + 20.54 / 2 = $22.30 <-- cost per person
CALCULATORS OK
Annabel went to Akido and got the jumbo sushi boat. The boat had a total of 153 pieces of sushi on it. If she ate at a constant rate of 3 pieces of sushi per 2 minutes, how long will it take her to eat 65% of the boat? Round your answer to the nearest minute
65% of 153 <-- amount of sushi
x/153 = 65/100
100x = 9945
100x/100 = 9945/100
x = 99.45 <-- 65% of the sushi boat
3/2 = 99.45/x
3x = 198.9
3x/3 = 198.9/3
x = 66.3 minutes --> 1 hour 6 minutes
Gwen is watching a movie that is 1hr and 40mins long. She watches 30% before she stops to get a snack. She resumes the movie and watches 8% more before Ellery comes in and joins her. They finish the movie together. How many minutes did Gwen and Ellery watch together?
Gwen: 34% of 100mins
30% of 100 = 30
1% of 100 = 1
So.. Gwen watched 38mins alone
Gwen&Ellery: 100 - 38 = 62mins together