Basic word problems

Basic word problems

Solving for X

Solving a Multi-variable Equation

Money

Time/Rate/Distance

100

The average of three numbers is 45. If two of the numbers are 35 and 45, what is the third number?

55

100

2x - 8 + 10 = 5x + 3
Express answer as a fraction in simplest form

What is -1/3

100

Solve 5t - 2r =25 for t

t = (25 +2r)/5

100

Calvin has 8 dimes, 12 nickels, and 7 quarters. How much money does he have?

What is $3.15

100

A car is traveling at an average speed of 32 mph. How far will the car travel in 45 minutes?

What is 24 miles

200

In a triangle, one angle is 40 degrees more than the smallest angle and the third angle is twice as big as the smallest angle. Find the measure of each angle.

What is 35, 75, and 70

200

(2/3)(x - 3) = 8

What is 15

200

Solve A = (c + b)/2 for b

What is b = 2A - c

200

If Dan has n nickels and 18 more dimes than nickels, what expression would give the value of her dimes in cents?

What is 5(n + 18) or 5n + 90

200

Two cars leave a rest stop at the same time. The eastbound car travels 65 mph and the westbound car travels 55 mph. After 2 hours, how far apart are they?

What is 240

300

the length of a rectangle is 5 cm less than three times its width. The perimeter is 134 cm. What is the area of the rectangle

What is 882 square cm.

300

(2x - 3)/5 = (x + 1)/6

What is 23/7

300

Solve (12s)/w = CD for w

What is w = (12s)/CD

300

A carpenter makes $55 per hour and his assistant makes $30 per hour. On one job the assistant works 5 hours longer than the carpenter and together they make $2020. How long did each work?

What is 22 hours for the carpenter and 27 hours for his assistant

300

A car drives at a rate of 50 miles per hour for six hours. A bus drives the same route in 8 hours. What was the average speed of the bus?

What is 37.5 mph

400

A plumber charges $55 an hour for his labor and his assistant charges $30. If the plumber works twice as long as the assistant on a particular job and they charge $700, how long did the plumber work?

10 hours

400

(2x)/3 + (3x)/4 = 10

What is 120/17

400

Solve A = S(1 + N) for N

What is N = (A/S) -1

400

200 tickets were sold for a school play. Adult tickets cost $8 and student tickets cost $5. A total of $1381 was collected. How many student tickets were sold?

What is 73

400

Liz leaves school and walks home at a rate of 2.5 miles per hour. At the same time, her mom leaves home, driving at a rate of 30 miles per hour, to pick her up. If Liz's house is 8 miles from the school, how long will it take for Liz's mom to meet up with Liz? (round to nearest hundredth)

What is .25 hours

500

Rosemary works two part-time jobs while attending college. During the day she works at the college bookstore and earns $8.25 per hour. In the evening she delivers pizza for Papa Gino's, earning $9.25 per hour. If Rosemary earned $247 last week from working a total of 28 hours, find how many hours she worked at Papa Gino's last week.

What is 16 hours

500

(2x - 4)/7 = (x+3)/5

What is 41/3

500

Solve R = (L + 3w)/2 for w

What is (2r - L)/3

500

David has 12 more dimes than quarters. If he has $8.90 in all, how many dimes does he have?

What is 22

500

Two planes leave the CVG airport for LA at the same time. One flies at 250 mph and the other flies at 300 mph. How much time will it take for them to be 175 miles apart?

What is 3.5 hours

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