Topic 1 & 2
#1) Pumpkin muffins to chocolate-chip muffins
2:10 = 1:5
#22)
On a map with a scale of 0.5 inch = 75 miles, the distance between two cities is 2.75 inches. Find the actual distance between the cities.
0.5 : 75 = 2.75 : x
x = 412.5 miles
#32) A flagpole casts a 20 foot shadow at the same time Lexi casts a 5 foot shadow. If Lexi is 5'9", find the height of the flagpole.
x : 20 = 5.75 : 5
x= 23 feet tall
#44) A $1,349 television is on sale for 20% off. If sales tax is 8%, find the price of the television including tax.
$1,349 (0.20) = $269.80
$1,349 -$269.80 = $1,079.20
$1,079.20 (0.08) = $86.34
$1,079.20 + $86.34 = $1,165.54
#3) chocolate chip muffins to total muffins
10 : 32 = 5 : 16
#9) 4 years to 8 months
48:8 = 6:1
#24)
Nate made a model of the USSS Massachusetts Battleship that is 3 feet long. If the actual battleship is 681 feet long, what scale dis he use?
681/3 = 227
1 foot = 227 feet
#34) Find the distance from the bank to the grocery store.
3:5 = x:8
x = 4.8 miles
#45) The Barnes family has a coupon for 10% off their dinner. If their bill comes to $82.50 and they wish to tip 15%, what will they pay in total?
$82.50 (0.10) = $8.25
$82.50 - $8.25 = $74.25
$74.25 (0.15) = $11.14
$74.25 + $11.14 = $85.39
#11) It took Ciera 24 minutes to drive 18 miles. It took James one hour to drive 46 miles. Who is driving at a faster rate?
Ciera: 18/24 = 0.75 mile/min
James: 46/60 = 0.7666 mile/min
James is driving faster
#12) Which is the better deal?
Option A - 2lbs of pears for $1.98
Option B - 5lbs of pears for $4.60
Option A = $0.99 per pound
Option B = $0.92 per pound
#26) Give the scale factor of figure A to figure B.
24/18 = 1 1/3
32/24 = 1 1/3
36/27 = 1 1/3
Figure A is 1 1/3 the size of figure B
#36) What percent of 80 is 18?
18/80 = 0.225
22.5%
#49) Suppose $3,750 is placed in a savings account for 4 years. Find the interest earned if the interest rate is 1.85%.
$3,750 (0.0185)(4) = $277.50
#19)
20 : 9.5 = 36 : m
20m = 342
m = 17.1
#16) Are these ratios proportional?
5:27 and 3:16.2
Yes
16.2 x 5 = 81
27 x 3 = 81
#28) Find the value of x? Tell the proportion you set up.
14:x = 18:30
x = 23 1/3
#38) 10.2 is 21.25% of what number?
10.2 : x = 21.25 : 100
x = 48
#51) Rylan placed $1,200 in a retirement account. Seven years later, it had earned $546 in interest. Find the interest rate.
$1,200(r)(7) = $546
$8,400r = $546
r = 0.065
6.5%
#33) A 15 foot street lamp casts a 9 foot shadow. If the street lamp is near a 71 foot building, find the length of the shadow casted by the building.
15/9 = 71/x
15x = 639
x = 42.6 feet
#20) In a cookie recipe, 1 2/3 cups of milk makes 16 cookies. How many cups of milk are needed to make 24 cookies?
1.666:16 = x:24
x =2.5 cups of milk
#30) Give triangle CDE is similar to triangle KLM, find DE.
8:15 = 12:x
x = 22.5
#41) A stereo that regularly costs $429.99 is on sale for 35% off. How much money will be discounted from the regular price?
$429.99 (0.35) = $150.50
#53) How many years will it take a $5,000 investment to reach $7,500 at an 8% interest rate?
$5,000(0.08)(t) = $2,500
$400t = $2,500
t = 6.25 years
#48) A painting that sold for $4,500 in 2013 is now worth $7,900. Find the percent change in value from then until now. Classify as a percent increase or decrease.
($7,900 - $4,500) / $4,500
$3,400 / $4,500 = 0.755
75.5% increase in value