Solve the following real-world problem: Ahmadullah’s basketball team will play 21 games this season. That is 12 games more than 1/3 the number of games they played last season. How many games did they play last season?(1 point)
Responses
7 games
7 games
27 games
27 games
11 games
11 games
33 games
Let's set up an equation to solve this problem.
Let x represent the number of games Ahmadullah's basketball team played last season.
According to the problem, Ahmadullah's team will play 12 more games than 1/3 times the number of games they played last season.
This can be written as 1/3x + 12 = 21.
To solve for x, we need to isolate it on one side of the equation.
Subtract 12 from both sides: 1/3x = 21 - 12.
Simplified: 1/3x = 9.
To get rid of 1/3 in front of x, we can multiply both sides by 3: 3 * (1/3x) = 3 * 9.
Simplified: x = 27.
Therefore, Ahmadullah's basketball team played 27 games last season.
Joseph wants to buy tickets for the baseball game and a team hat to wear to the game. He has $34.25. If the hat costs $12.50 and tickets cost $7.25 each, how many tickets can he buy?(1 point)
Responses
2 tickets
2 tickets
1 ticket
1 ticket
3 tickets
3 tickets
6 tickets
Let's set up an equation to solve this problem.
Let x represent the number of tickets Joseph can buy.
According to the problem, Joseph has $34.25 and the hat costs $12.50. The tickets cost $7.25 each, so the total cost of the tickets is 7.25x.
To find out how many tickets Joseph can buy, we need to subtract the cost of the hat and divide the remaining money by the cost of each ticket.
So, we have the equation: 34.25 - 12.50 = 7.25x.
Simplifying this equation, we have: 21.75 = 7.25x.
To find x, we need to divide both sides of the equation by 7.25: x = 21.75 / 7.25.
Simplified, x = 3.
Therefore, Joseph can buy 3 tickets.
To solve this real-world problem, we need to find the number of games Ahmadullah's basketball team played last season. We are given that they will play 21 games this season, which is 12 games more than 1/3 of the number of games they played last season.
Let's set up an equation to represent the problem. Let "x" represent the number of games played last season:
21 = (1/3)x + 12
To solve this equation, we first need to isolate the variable "x".
Subtract 12 from both sides of the equation:
21 - 12 = (1/3)x
9 = (1/3)x
To get rid of the fraction, we can multiply both sides of the equation by 3:
3 * 9 = (3 * 1/3)x
27 = x
Therefore, Ahmadullah's basketball team played 27 games last season.