Section 1
Use a Problem Solving Strategy
Two-thirds of the children in the fourth-grade class are girls. If there are 20 girls, what is the total number of children in the class?
Three-fifths of the members of the school choir are women. If there are 24 women, what is the total number of choir members?
Zachary has 25 country music CDs, which is one-fifth of his CD collection. How many CDs does Zachary have?
One-fourth of the candies in a bag of are red. If there are 23 red candies, how many candies are in the bag?
There are 16 girls in a school club. The number of girls is 4 more than twice the number of boys. Find the number of boys in the club.
There are 18 Cub Scouts in Troop 645. The number of scouts is 3 more than five times the number of adult leaders. Find the number of adult leaders.
Lee is emptying dishes and glasses from the dishwasher. The number of dishes is 8 less than the number of glasses. If there are 9 dishes, what is the number of glasses?
The number of puppies in the pet store window is twelve less than the number of dogs in the store. If there are 6 puppies in the window, what is the number of dogs in the store?
After 3 months on a diet, Lisa had lost 12$\%$ of her original weight. She lost 21 pounds. What was Lisa's original weight?
Tricia got a 6$\%$ raise on her weekly salary. The raise was $\$ 30$ per week. What was her original weekly salary?
Tim left a $\$ 9$ tip for a $\$ 50$ restaurant bill. What percent tip did he leave?
Rashid left a $\$ 15$ tip for a $\$ 75$ restaurant bill. What percent tip did he leave?
Yuki bought a dress on sale for $\$ 72$ . The sale price was 60$\%$ of the original price. What was the original price of the dress?
Kim bought a pair of shoes on sale for $\$ 40.50 .$ The sale price was 45$\%$ of the original price. What was the original price of the shoes?
In the following exercises, solve each number word problem.The sum of a number and eight is 12. Find the number.
In the following exercises, solve each number word problem.The sum of a number and nine is 17. Find the number.
In the following exercises, solve each number word problem.The difference of a number and twelve is 3. Find the number.
In the following exercises, solve each number word problem.The difference of a number and eight is 4. Find the number.
In the following exercises, solve each number word problem.The sum of three times a number and eight is 23. Find the number.
In the following exercises, solve each number word problem.The sum of twice a number and six is 14. Find the number.
In the following exercises, solve each number word problem.The difference of twice a number and seven is 17. Find the number.
In the following exercises, solve each number word problem.The difference of four times a number and seven is 21. Find the number.
In the following exercises, solve each number word problem.Three times the sum of a number and nine is 12. Find the number.
In the following exercises, solve each number word problem.Six times the sum of a number and eight is 30. Find the number.
In the following exercises, solve each number word problem.One number is six more than the other. Their sum is forty-two. Find the numbers.
In the following exercises, solve each number word problem.One number is five more than the other. Their sum is thirty-three. Find the numbers.
In the following exercises, solve each number word problem.The sum of two numbers is twenty. One number is four less than the other. Find the numbers.
In the following exercises, solve each number word problem.The sum of two numbers is twenty-seven. One number is seven less than the other. Find the numbers.
In the following exercises, solve each number word problem.A number is one more than twice another number. Their sum is negative five. Find the numbers.
In the following exercises, solve each number word problem.One number is six more than five times another. Their sum is six. Find the numbers.
In the following exercises, solve each number word problem.The sum of two numbers is fourteen. One number is two less than three times the other. Find the numbers.
In the following exercises, solve each number word problem.The sum of two numbers is zero. One number is nine less than twice the other. Find the numbers.
In the following exercises, solve each number word problem.One number is fourteen less than another. If their sum is increased by seven, the result is 85. Find the numbers.
In the following exercises, solve each number word problem.One number is eleven less than another. If their sum is increased by eight, the result is 71. Find the numbers.
In the following exercises, solve each number word problem.The sum of two consecutive integers is 77. Find the integers.
In the following exercises, solve each number word problem.The sum of two consecutive integers is 89. Find the integers.
In the following exercises, solve each number word problem.The sum of two consecutive integers is $-23 .$ Find the integers.
In the following exercises, solve each number word problem.The sum of two consecutive integers is $?37$. Find the integers.
In the following exercises, solve each number word problem.The sum of three consecutive integers is 78. Find the integers.
In the following exercises, solve each number word problem.The sum of three consecutive integers is 60. Find the integers.
In the following exercises, solve each number word problem.Find three consecutive integers whose sum is $?36.$
In the following exercises, solve each number word problem.Find three consecutive integers whose sum is $?3.$
Shopping Patty paid $\$ 35$ for a purse on sale for $\$ 10$ off the original price. What was the original price of the purse?
Shopping Travis bought a pair of boots on sale for $\$ 25$ off the original price. He paid $\$ 60$ for the boots. What was the original price of the boots?
Shopping Minh spent $\$ 6.25$ on 5 sticker books to give his nephews. Find the cost of each sticker book.
Shopping Alicia bought a package of 8 peaches for $\$ 3.20 .$ Find the cost of each peach.
shopping Tom paid $\$ 1,166.40$ for a new refrigerator, including $\$ 86.40$ tax. What was the price of the refrigerator before tax?
Shopping Kenji paid $\$ 2,279$ for a new living room set, including $\$ 129$ tax. What was the price of the living room set before tax?
Write a few sentences about your thoughts and opinions of word problems. Are these thoughts positive, negative, or neutral? If they are negative, how might you change your way of thinking in order to do better?
When you start to solve a word problem, how do you decide what to let the variable represent?