Applications Word Problems
1. An exam worth 145 points contains 50 questions. Some of the questions are worth two points and
some are worth five points. How many two point questions are on the test? How many five point
questions are on the test?
2. The Lakers scored a total of 80 points in a basketball game against the Bulls. The Lakers made a
total of 37 two-point and three-point baskets. How many two-point shots did the Lakers make? How
many three-point shots did the Lakers make?
3. The senior classes at High School A and High School B planned separate trips to New York City.
The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School
B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same
number of students. How many students can a van carry? How many students can a bus carry?
4. Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3
senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by
selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and
one child ticket?
5. Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges
and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a
total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220.
Find the cost each of one small box of oranges and one large box of oranges.
6. DeShawn and Shayna are selling flower bulbs for a school fundraiser. Customers can buy bags of
windflower bulbs and bags of daffodil bulbs. DeShawn sold 10 bags of windflower bulbs and 12 bags
of daffodil bulbs for a total of $380. Shayna sold 6 bags of windflower bulbs and 8 bags of daffodil
bulbs for a total of $244. What is the cost each of one bag of windflower bulbs and one bag of daffodil
bulbs?
7. The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200
people enter the fair and $5050 is collected. How many children and how many adults attended?
8. The sum of the digits of a two-digit number is 7. When the digits are reversed, the number is
increased by 27. Find the number.
9. You and a friend go to Taco Bell for lunch. You order three soft tacos and three burritos (Wow!
That is a lot of food) and your bill is $11.25. Your friend’s bill is $10.00 for four soft tacos and two
burritos (Still a lot!). How much do soft tacos cost? How much to burritos cost?
10. You are running a concession stand at a basketball game (Go Lancers!) selling hot dogs and sodas.
Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total of
$78.50. You sold a total of 87 hot dogs and sodas combined. You must report the number of hot dogs
and the number of sodas sold (but forgot to keep track – oops!). Use your math skills to determine how
many of each were sold.
Word Problems Worksheet 3
Marrero
Name:_______________________Per:___
Define variables. Write a system of equations and solve.
1. John purchased a computer and a TV for $2,000 and later sold both items for
$2,260. How much did each item cost, knowing tha t John sold the computer for
10% more than the purchase price, and the TV for 15% more?
2. What is the area of a rectangle knowing that its perimeter is 16 cm and its base is
three times its height?
3. A farm has pigs and turkeys, in total there are 58 heads and 168 paws. How many
pigs and turkeys are there?
4. John says to Peter, "I have double the amount of money that you have" and Peter
replies, "if you give me six dollars we will have the same amount of money". How
much money does each have?
5. A company employs 60 people. Of this amount, 16% of the men wear glasses and
20% of the women also wear glasses. If the total number of people who wear
glasses is 11, how many men and women are there in the company?
6. The value of the digit in the tens column of a two -digit number is twice the value of
the digit in the ones column, and if you subtract this by number 27, the number
obtained is a number with the same digits but in reverse order. What is the
number?
7. Two appliances have been purchased for $3,500. If a 10% d iscount was applied to
the first item and a 8% discount on the second, the total price for both purchases
would have been $3,170. What is the price of each item?
8. Find a two-digit number knowing that its digit in the tens column minus 5 is the
same digit in the ones column and if the order of the digits is reversed, the number
obtained is equal to the first number, minus 27.