Word Problems- DOUBLE!
Ratios
Rates & Unit Rates
Unit Rates with Fractions
Proportional Relationships
100
The equation y = 55x represents the rate of the Long Island highway speed limit, in miles per hour. Let x represent the number of hours driven and y represent the total miles driven.
How long was Francis driving if he drove 715 miles at the speed limit?
13 hours
100
In geometry class, the girl to boy ratio is 9 to 4. If there are 45 girls, how many boys are there?
What is 20 boys
100
Find the unit rates for the following problems:
27 calls in 9 hours
What is 3 calls per 1 hour
100
Find the unit rates:
4 miles/ 1/4 hour= x miles / 1 hour
What is 16 miles
100
A helicopter propeller spins 2400 revolutions in 4 minutes. What is the constant of proportionality (k), in revolutions per minute?
600 revolutions per minute
200
Jeff earned $400 working a 40-hour work week.
Find Jeff's hourly wage and use it to predict how much he will make if he works for 47 hours.
$470
200
The ratio of the number of girls to the number of boys in a chess club is 3 to 2. There are 14 boys in the chess club, What is the number of girls in the chess club?
What is 21 girls.
200
21 yards of yarn costs $42. What is the price per yard?
What is $2 per yard
200
Find the unit rate:
1/4 feet / 5/6 minutes = x feet / 1 minute
What is 6/20 or 3/10 feet
200
Is this a proportional relationship? If yes, what is the constant of proportionality? If no, why not?
No, because the ratio of y to x is not constant
300
Janine sells 16 apples for $8.00. What is the unit price for each apple?
How much would she earn if she sold 64 apples?
$0.50 per apple; $32
300
For every 3 chocolate chip cookies that Angel bakes, he bakes 2 oatmeal raisin cookies. Is he bakes 80 oatmeal raisin cookies, how many chocolate chip cookies did he bake?
What is 120 chocolate chip cookies
300
Spenser bought 5 chocolate bars for $3.70. What is the unit price for 1 chocolate bar?
What is $0.74 per 1 chocolate bar
300
Set up rates then solve:
It takes Daniel 2 1/2 hours to mow 3/4 of his lawn. How long does it take him to mow his entire lawn?
What is 20/6 or 10/3 or 3 1/3 hours.
300
Maxine works at law office. the equation e = 160h represents her earnings.Determine how much money she makes if she works 40 hours.
$6400
400
Jackson bought 3 pairs of jeans for $71.40. How much would he need to pay for 8 pairs of jeans?
$190.40
($23.80 per pair)
400
The ratio of cats to dogs that are in the shelter is 5 to 3. If there are 48 total animals, how many more are cats?
What is 12 more cats than dogs
400
You took a trip to the mountains and traveled 486 miles. It took you 9 hours to get there. What is your miles per hour?
What is 54 miles per hour
400
Josh can walk 4/5 of a mile in 1/6 of an hour. He lives 1 mile away from school. How long will it take him to get to school?
What is 5/24 of an hour
400
If 2 pounds of beans cost $5, how much will 15 pounds of beans cost?
$37.50
500
Pasta A costs $1.20 for 10 oz. while Pasta B costs $1.50 for 12 oz. Which pasta is cheaper per ounce, and by how much?
Pasta A is cheaper, by half a cent. Pasta A is 12 cents an ounce. Pasta B is 12.5 cents an ounce.
500
For every 4 books that Kenisha reads, she reads 3 magazines. If she read 21 magazines, how many total publications did she read?
What is 49
500
You took a trip to the mountains and traveled 486 miles. It took you 18 gallons of gas to get there. How many miles per gallon would it go?
What is 27 miles per gallon
500
A bus traveled 2/7 of the distance between two cities in 5/6 of an hour. At this rate, how long will it take them reach their destination?
What is 35/12 or 2 11/12 hours
500
Which machine is a proportional relationship and what is its constant of proportionality?
Machine Q; constant of proportionality of 6