Problem Solving 1
A tuxedo rental service charges a $150 fee for a suit plus $50 per additional day. Find the equation to determine the total number of days "d" if Carlos paid $400.
What is 150 + 50d = 400?
The sum of three consecutive numbers is 84. Find the equation to determine which is the smallest number.
Use "x" as a variable.
What is x + x+1 + x+2 = 84?
or
What is 3x + 3 = 84?
Sally had 101 dollars to spend on 6 books. After buying them she had 17 dollars. How much did each book cost?
What are 14 dollars?
Fred bought 4 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 32 cards left. How many cards did Fred start with?
What are 60 baseball cards?
In a school election, Bob receives 12 more votes than Helen and she 36 more votes than Steve. If altogether 384 votes were cast for these three candidates, how many votes does Steve receive?
What are 100 votes?
Mrs. Gonzalez charges her music students $25 per hour plus a recital fee of $50. Find the equation that determines how many hours of lessons did one student have if he paid a total of $175 after one week.
Use "x" as your variable.
What is 25x + 50 = 175
Cine-Flix Movie Rental charges a $100 membership fee and $10 for each movie. Movies Now charges no membership fee but movies cost $15 each. Find an equation to determine the number of movies you need to buy for the cost of each movie club to be the same.
Use "m" as your variable.
What is 100 + 10m = 15m?
Fred sold half of his comic books and then bought eight more. He now has thirteen. How many did he begin with?
What are 10 comic books?
On Monday, 271 students went on a trip to the zoo. All 6 buses were filled and 7 students had to travel in cars. How many students were in each bus?
What are 44 students?
Tom has 2 grandsons: Felix and Jake. Jake is 5 years olderer than Felix. Tom is 4 times Jake's age. The sum of all their ages is 85. How old is Felix?
What is 10 years old?
A cell phone company charges $30 per month plus $0.70 per extra minute. If Tom's bill was $59.40, how many extra minutes did he use?
What are 42 minutes?
During the winter, Alex charge people $12 for going to their house to shovel snow, plus $9 per hour of labour. If the made $120 in one day, how many hours did Alex work?
What are 12 hours?
A rectangular picture has a length of 8 inches and a perimeter of 36 inches. What is the height of the picture?
What are 10 inches?
The sum of three consecutive numbers is one hundred fourteen. What is the smallest of the three numbers?
What is 37?
Find 3 consecutive odd numbers such that the sum of the smallest and seven times the largest is 68.
What are 5, 7 and 9?
The sum of four consecutive odd numbers is 840. What is the smallest number?
What is 207?
Stacey and Robin are playing games at the arcade. Stacey started with $15, and the machine she is playing costs $0.75 per game. Robin started with $13, and her machine costs $0.50 per game.
After how many games will the two girls have the same amount of money remaining?
What are 8 games?
Universal Shipping charges $14 plus $2 a pound to ship an overnight package. Send-it Quick charges $20 plus $1.50 a pound to ship an overnight package. For what weight is the charge the same for the two companies?
What are 12 pounds?
On my phone, I have two more than three times the number of games than my brother has. My friend however, has 4 times the number of games I have. The total number of games among the three of us is 106. How many games does my brother have on his phone?
What are 6 games?
The length of a rectangular field is 7m less than 4 times the width. The perimeter of the field is 136 m. Find the width.
What is 15 m?
You decide to order some baseball cards from an online catalogue. Each pack of cards costs $3.50 and the shipping fee is $5.00 no matter how many packs of cards you order. If your order came to a total of $50.50, how many packs did you order?
What are 13 packs of baseball cards?
Amanda is 3 years older than Bradley and Diana is twice as old as Amanda. The sum of their ages is 57. How old is Amanda?
What is 15 years old?
Get Fit Gym currently has 96 members participating in their aerobic classes, and this number has been increasing by 2 people per week. The cycling classes have a total of 80 members who participate, and this number has been decreasing by 3 people per week. In how many weeks will the number of people working out in the aerobics classes be double the number of people attending the cycling classes?
What are 8 weeks?
Claudia earned twice as much money as David did. Luke earned four times as much as David did. The total amount of money the three of us earned is $210. How much money did Luke earn?
What are 120 dollars?
The perimeter of a triangle is 71 cm. The first side is 3 cm shorter than the second side, and the third side is twice as long as the first side. Find the length of the longest side.
What is 34 cm?