Comparing Speeds
A kangaroo hops 2 kilometers in 3 minutes. At this rate, How long does it take the kangaroo to travel 5 kilometers?
7.5 minutes
Pat wants to enter a typing contest. In order to enter, one has to be able to type 50 words per minute. Pat took 15 seconds to type 10 words. Can he enter the contest?
Pat cannot enter the contest
364/14
26
The price of a t-shirt is 50$. If you buy 4 shirts, you will get 10% discount. How much will you have to pay if you buy 8 shirts?
360 dollars (50 x 8= 400 * 10 = 40) (400-40=360)
A package of sliced cheese costs $2.97.
How much would a package with 18 slices cost at the same price per slice? Explain or show your reasoning.
$4.86
Reasoning: The package of 11 slices costs $2.97, so this is 27 cents per slice. A package of 18 slices at 27 cents per slice would cost $4.86
Mai runs around a 400-meter track at a constant speed of 250 meters per minute. How many minutes does it take Mai to complete 4 laps of the track?
32/5 minutes (or equivalent)
Explanation: If each lap is 400 meters, then Mai runs 1,600 meters in 4 laps. Since every 250 meters takes her 1 minute to run, it would take her 1600/ 250 or 6.4 minutes to run 1,600 meters.
Which is the best buy?
6 shirts for $25.50
4 shirts for $18.00
5 shirts for $21
5 for $21 is the best deal
$25.50 / 6 shirts = $4.25 per shirt
$18.00 / 4 shirts = $4.50 per shirt
$21.00 / 5 shirts = $4.20 per shirt
510/17
30
Peter has 100$. The price of a watch is 60$. If Peter gets 25% discount, can he buy 2 watches?
yes
Four gallons of gasoline cost $16.80. What is the price per gallon?
$4.20 per gallon
($16.80 / 4 gallons )
Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels 22 meters in 10 seconds. Who was moving faster?
Mai’s scooter is faster. 22/10=2.2 , so Priya’s scooter travels at a rate of 2.2 meters per second. 15/6= 2.2 , so Mai’s scooter travels at a rate of 2.5 meters per second.
What's the better buy?
10 pencils cost $4
or
6 pencils cost $2.70 ?
10 for 4
Cost of 10 pencils = $4
Cost of 1 pencil = $0.40 (4/10 = $0.40)
Cost of 6 pencils = $2.70
Cost of 1 pencil = $0.45 (2.7/6= $0.45)
588/42
14
The price of a telephone is 200$ in shop A and 240$ in shop B. If you get 15% discount in shop B, where would you buy the telephone (both shops are next to each other) ?
Shop A is cheaper
Five lemons cost $1.80.
What is the cost per lemon?
$0.36
(1.80 / 5)
Two planes travel at a constant speed. Plane A travels 2,800 miles in 5 hours. Plane B travels 3,885 miles in 7 hours. Which plane is faster?
Plane A is faster. Plane A travels 2800/5=560 or 560 miles per hour. Plane B travels , 3885/7= 555 or 555 miles per hour. Plane A travels a farther distance in one hour.
A store has two different brands of laundry detergent. Brand A can do 80 loads of laundry and costs $12.75. Brand B does 36 loads of laundry and costs $6.75. Which laundry detergent costs less per load?
Detergent A is cheaper since it costs less than $6 to do 36 loads while detergent B costs $6.75 for 36 loads.
loads of wash/cost of detergent
324/54
6
Normally a PlayStation costs 500$, but you only want to pay 450$. How much discount (in percents) do you want?
10%
Erica babysits for 4 ½ hours and is paid $27. a. How much does she make per hour?
$6 per hour
$27 / 4.5 hours
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of a gallon of gas to go 1 mile. How far can the car travel with 15 gallons?
525 miles (35x15)
At the toy store you could get 2 board games for $8.36. Online the price for 3 board games is $12.84. Which place has the highest price for a board game ?
Toy Store
Cost of 1 board game is $4.18 (8.36/2)
Online
Cost of 1 board game is $4.28 (12.84/3)
4.18 < 4.28
87,441/8
10,930 R1
The price of a math book is 50$, but you have only 35$ with you. If you get a discount of 20%, how much money do you need to borrow from a friend so that you can buy the book?
5 dollars
A 450-square-foot apartment in New York City costs $540,000. What is the price per square foot?
$1,200 (540,000/450=1200)