PS10 – Objectives 3.3-3.5 Problem Solving Practice
Directions: Create a let statement and write and solve an algebraic equation. Show all your work in
your orange notebook.
Example:
Erika is following a 2,200 calorie-per-day diet. She eats the recommended 9 serving of breads and
cereals, averaging 120 calories per serving. She also eats 5 servings of vegetables. If the rest of her
daily intake is 870 calories, what is the average number of calories in each serving of vegetables?
Let c = the average number of calories in each serving of vegetables
9(120) + 5c + 870 = 2200
1080 + 5c + 870 = 2200
1950 + 5c = 2200
1950 – 1950 + 5c = 2200 – 1950
5c = 250
5c ÷ 5 = 250 ÷ 5
c = 50
Each serving of vegetables averages about 50 calories.
Solve these problems using the same format. Show all your work clearly.
1.
An electrician charges $50 to come to your house. He also charges $25 for each hour he spends
at your house. The electrician charges you a total of $125. How many hours did he spend at
your house?
2.
Two years of local Internet service costs $685, including the installation fee of $85. What is the
monthly fee?
3.
Jose ran twice as many kilometers as Karen. Adding 8 to the number of kilometers Jose ran
and dividing by 4 gives the number of kilometers Maria ran. Maria ran 3 kilometers. How
many kilometers did Karen run?
4.
Faith spent $78 at Fashion Warehouse. She bought 2 shirts that each cost $17.50 and a pair of
shoes. How much did she spend for the shoes?
5.
Betty is a nurse who likes to work overtime. She earns 1.5 times her normal hourly pay for
each hour that she works over 40 hours in a week. Last week she worked 53 hours and earned
$2082.50. What is her normal hourly pay?
6.
Members of the Campus Roller Rink pay a yearly membership fee of $50 plus $5 each time they
go skating. Nonmembers pay $10 each time they go skating. How many times would both a
member and a nonmember have to go skating in a year in order to pay the same amount?
7.
Five added to twice Erik’s age is the same as 3 times his age minus 2. How old is Erik?
8.
Three times the perimeter of a triangle is the same as 75 decreased by twice the perimeter.
What is the perimeter of the triangle?