A mobile service provider charges $11.00 plus $4.00 per minute for long distance calls, whereas another provider charges $26.00 plus $1.50 per minute. Write an equation that represents the number of minutes for which the two providers would charge the same amount, and then solve it.
One telephone service provider charges $1 plus an additional $0.50 per minute for international calls, whereas another provider charges $4 plus an additional $0.25 per minute. Write and solve an equation to find the call length for which the two telephone service providers would charge the same amount.
Michael and Elizabeth are competing on a quiz app. Michael has 40 points already and is winning 20 points per minute; Elizabeth has 20 points already and is winning 25 points per minute.
Write an equation that can be used to find , the number of minutes until Elizabeth overtakes Michael.
Amelia is making brooches to sell at a craft fair. It takes her 5 minutes to make a star brooch and 7 minutes to make a bow brooch.
On Saturday, she spent hours making brooches. She made 3 fewer star brooches than bow brooches.
Write an equation that can be used to find , the number of star brooches that Amelia made.
Charlotte has $18 in her piggy bank and Isabella has $11. Each week, Charlotte adds 50 cents to her piggy bank, while Isabella adds $1. How many weeks will it take for both girls to have the same amount of money in their respective piggy banks? What will that amount be?
To roast a chicken, it should be cooked in the oven at for 20 minutes per pound plus an additional 20 minutes.
If a chicken takes hours to roast at , write an equation that you could use to find , the weight of the chicken.
For journeys between 9 pm and 7 am, a cab company charges a fixed fare of 4.50 dollars plus 40 cents per fifth of a mile.
If a passenger takes a cab at midnight and the fare was $12.10, how far did they travel?
Matthew was collecting small change for charity. He collected cents, nickels, and dimes. He collected one and a half times as many cents as nickels and thirty-eight more dimes than nickels. There are three hundred and eighty-eight coins in his collection box.
How much money did he collect?
One way to cook beef is to roast it in the oven at for 15 minutes per pound plus an additional 30 minutes.
A joint of beef takes hours to roast at .
What is the weight of the joint?
Natalie likes to do puzzles. It takes her a quarter of an hour longer to solve a hanjie than a sudoku.
Over one weekend, she spent hours solving puzzles. She solved 3 sudokus and 6 hanjies.
Write an equation that can be used to find , the amount of time it takes her to solve a hanjie puzzle.
Solve your equation to find how long it takes Natalie to do a hanjie puzzle.
Elizabeth and Olivia are saving their allowances. Elizabeth has $100 in her account and saves $10 per month; Olivia has $50 in her account and saves $15 per month.
Write an equation that can be used to find , the number of months until their accounts have the same balance.
Solve your equation to find .
The sum of a number and nineteen divided by two is five more than three times the number.
Write an equation to represent the statement above. Let represent the number.
Let represent an unknown number. Write an equation that represents the statement “Forty less than three times an unknown number is twenty.”
Emma has saved dollars, dimes, and nickels in her money box. She has four more dollars than dimes and half as many nickels as she has dollars. She has saved $10.85 in total.
How many coins are there in her money box?
Jennifer volunteered to bring potato chips to a school picnic. There are 6 bags of chips in a multipack, and she bought multipacks. She keeps 5 bags of chips for her packed lunches and takes the remaining 37 bags to the party.
How many multipacks did she buy?
The ages of four siblings are consecutive multiples of 3, and the sum of their ages is 78. Write an equation that can be used to find , the age of the oldest sibling.
William and Michael were playing a video game. Michael scored 58 959 more points than William. If their combined score was 86 905, write and solve an equation to determine William’s score.