Download Jeapordy - Chapter 6

Ratios and
Unit Rates
Percent of
Change
Proportions
Probability
Problem
Solving
$100 $100 $100 $100 $100
$200 $200 $200 $200 $200
$300 $300 $300 $300 $300
$400 $400 $400 $400 $400
$500 $500 $500 $500 $500
Ratios and Unit Rates for $100
Write a ratio to represent the number of
students who got A’s to the number of
students who did not:
6 students out of 16 total students got A’s
on the Math Test
Answer
Ratio:
(Favorable:unfavorable)
6:10 = 3:5
Back
Ratios and Unit Rates for $200
342 m/min = how many
m/day?
Answer
342 m/min * 60 min/hr *
24hr/day = 492,480 m/min
Back
Ratios and Unit Rates for $300
A horse is running 10m/s.
How many km/hr is he
running?
Answer
10m/s * 60s/1min * 60min/1hr *
1km/1000m
= 36,000km/1000hr = 36km/hr
Back
Ratios and Unit Rates for $400
What is the difference
between probability and
odds?
Answer
Probability = (favorable)/(total)
Odds = (favorable)/(unfavorable)
Back
Ratios and Unit Rates for $500
The ratio of boys to girls
in a classroom is 3:4. If
there are 12 girls in the
classroom, how many
total students are in the
classroom?
Answer
3/4 = x/12
4x = 36
x = 9 boys
So, 9 boys + 12 girls = 21 total students
Back
Percent of Change for $100
What is the percent change
on a pair of shoes that
originally cost $45, but are
on sale for $36?
Answer
(Original – New) / Original * 100
($45 - $36)/ $45 * 100
=($9)/$45 * 100
=.20 * 100
= 20% decrease
Back
Percent of Change for $200
After buying a car for $12,500 a
dealer sells the car for $15,750.
What is the percent change in
the price of the car?
Answer
(Original – New) / Original * 100
(12,500 – 15,750)/ 12,500 *100
= (-3250)/12500 * 100
= -0.26 * 100
= -26%
= 26% Increase
Back
Percent of Change for $300
What is the markup on an
ipod if the store buys it for
$130 and then increases the
price by 53.1%?
Answer
Markup: 130 * 0.531= $69.03
Back
Percent of Change for $400
A store buys a pair of shoes
for $12 and then marks
them up by 427%. What is
the final selling price?
Answer
Markup: 12*4.27 = $51.24
Selling price = $12 + $51.24 = $63.24
Back
Percent of Change for $500
A store decides to have a sale
and discounts everything in
the store by 35%. If an item
originally costs $273, what is
the amount of discount and the
final selling price?
Answer
Discount: $273 * 0.35 = $95.55
Selling Price = $273 - $95.55 = $177.45
Back
Proportions for $100
Solve for x:
5 = x_
8 20
Answer
5/8 = x/20
8x = 100
x = 12.5
Back
Proportions for $200
Solve for x:
(X-7) = _6_
5
15
Answer
(X-7)/5 = 6/15
5*6 = 15(x-7)
30 = 15x – 105
135 = 15x
9=x
Back
Proportions for $300
Solve for x:
5
= 12_
(x-3) (x+3)
Answer
5/(x-3) = 12/(x+3)
5(x+3) = 12(x-3)
5x + 15 = 12x – 36
15 = 7x – 36
51 = 7x
7.29 = x
Back
Proportions for $400
Given that the triangles below
are similar, solve for x and y
14m
Y
10m
10m
X
6m
Answer
Set up two proportions:
1) 6m/10m = X/14
10x = 84
x = 8.4m
2) 6m/10m = 10/y
100 = 6y
16.67 = y
Back
Proportions for $500
Find the height of the tree given that the
boy is 4 feet tall
2.5 ft
10 ft
Answer
Set up a proportion:
2.5ft/10ft = 4/x
Cross Multiply
40 =2.5x
X = 16 ft tall
Back
Probability for $100
If I roll a dice one time, what
is the probability of rolling a
one or a three?
i.e. P(1 or 3) = ?
Answer
Number of Items in Sample Space = 6
Sample Space {1 2 3 4 5 6}
Probability = 2/6 or 1/3
Back
Probability for $200
If I flip a coin 4 times, what is the
probability of the same face
showing up all 4 times?
i.e. Either H-H-H-H or T-T-T-T
Answer
Elements in Sample Space = 2*2*2*2 = 16
P(H-H-H-H) = 1/16
P(T-T-T-T) = 1/16
P(H-H-H-H OR T-T-T-T)
= (1/16) + (1/16) = 2/16= 1/8
Back
Probability for $300
Suppose you choose an m&m
from a bag containing 5 blue
m&m’s, 4 red m&m’s and 7
yellow m&m’s, and the one
you pick is blue. You then
pick another m&m. Find
P(yellow)
Answer
P(yellow)
Number of m&m’s = 5+4+7 = 16
After you pick one blue one there are 15
m&ms left: 4 blues, 4 reds, and 7
yellows. So,
P(yellow) = 7/15
Back
Probability for $400
Draw the sample space (list all
possible outcomes) for the
following event:
You flip a coin, and then spin the
spinner shown below.
Answer
H-O
T-O
H-P
T-P
H-Y
T-Y
H-G
T-G
H-R
T-R
Back
Probability for $500
I spin the spinner shown
below, and then roll a dice.
Find P(Red and 2)
Answer
Number of elements in sample space:
5 * 6 = 30
P(Red) = 1/5
P(2) = 1/6
P(Red and 2) = (1/5) * (1/6) = 1/30
(There is only one possible outcome out of
the 30 that satisfies the conditions of the
event)
Back
Problem Solving for $100
Find three consecutive integers whose
sum is 99
Answer
Let x = the smallest of the
three integers, then:
x + (x+1) + (x+2) = 99
3x + 3 = 99
3x = 96
x = 32, x+1 = 33, x+2 = 34
Back
Problem Solving for $200
Find four consecutive EVEN integers
whose sum is 108.
Answer
Let x = the smallest of the
four integers, then:
x + (x+2) + (x+4) + (x+6) = 108
4x + 12 = 108
4x = 96
x = 24, x+2 = 26, x+4 = 28,
x+6=30
Back
Problem Solving for $300
If Thuy puts $500 into a bank
account which pays 3.5% interest
every month, how much money will
she have after 6 months?
Answer
Time
Starting Rate Amount of Final
(Months) Amount
Increase
Amount
1
$500
0.035 $17.50
$517.50
2
$517.50
0.035 $18.11
$535.61
3
$535.61
0.035 $18.75
$554.36
4
$554.36
0.035 $19.40
$573.76
5
$573.76
0.035 $20.08
$593.84
6
$593.84
0.035 $20.78
$614.62
Back
Problem Solving for $400
Andrew has 5 shirts, 3 pants,
and 2 pairs of shoes. How
many different combinations of
outfits of 1 shirt, 1 pair of pants
and 1 pair of shoes are
possible?
Answer
Ways to solve:
*Make a table of all possible
combinations
*Do 5*3*2 = 30 possible
combinations.
Back
Problem Solving for $500
The population of HCMC was
approximately 6,117,251 in 2004.
The annual growth rate is
approximately 3%. Assuming these
figures are correct, what will the
population of HCMC be at the end of
2011?
Answer
Time
(year)
2004
Starting
Amount
6117251
Rate
0.03
Amount of
Increase
183517.5
Final
Amount
6300768.5
2005
6300768.5
0.03
189023.1
6489791.6
2006
6489791.6
0.03
194693.7
6684485.3
2007
6684485.3
0.03
200534.6
6885019.9
2008
6885019.9
0.03
206550.6
7091570.5
2009
7091570.5
0.03
212.747.1
7304317.6
2010
7304317.6
0.03
219129.5
7523447.1
2011
7523447.1
0.03
225703.4
7,749,151
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