Solve the following real-world problem: Destiny opens a checking account with $100 and then deposits $27 each week. How many weeks will it take for her account to reach $343? (1 point)
To find out how many weeks it will take for Destiny's account to reach $343, we can set up an equation based on the given information.
Let's denote the number of weeks it takes as "w".
Since Destiny deposits $27 each week, the balance in her account after "w" weeks can be represented as: $27w.
We also know that Destiny opens the account with $100, so the total balance after "w" weeks can be represented as: 100 + $27w.
According to the problem, we want to find out when the account balance reaches $343. So we can set up the following equation:
100 + $27w = $343
Next, we need to solve for "w".
Subtracting 100 from both sides of the equation:
$27w = $343 - 100
$27w = $243
Finally, dividing both sides of the equation by $27:
w = $243 / $27
w = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
Solve the following real-world problem: Ahmadullah’s basketball team will play 21 games this season. That is 12 games more than 13 the number of games they played last season. How many games did they play last season?(1 point)
Let's denote the number of games Ahmadullah's basketball team played last season as "x".
The problem states that the number of games they play this season is 12 more than 13 times the number of games they played last season.
We can set up the following equation to represent the relationship between the two seasons:
21 = 13x + 12
Now let's solve for "x" by isolating it on one side of the equation:
21 - 12 = 13x
9 = 13x
Next, divide both sides of the equation by 13 to solve for "x":
9/13 = x
Therefore, Ahmadullah's basketball team played 9 games last season.
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)
Let's denote the number of games Ahmadullah's basketball team played last season as "x".
The problem states that the number of games they play this season is 12 more than 1/3 of the number of games they played last season.
We can set up the following equation to represent the relationship between the two seasons:
21 = (1/3)x + 12
Now let's solve for "x" by isolating it on one side of the equation:
21 - 12 = (1/3)x
9 = (1/3)x
Next, multiply both sides of the equation by 3 to get rid of the fraction:
9 * 3 = x
27 = x
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)
To find out how many tickets Joseph can buy, we need to subtract the cost of the hat from his total amount of money and then divide the remaining amount by the cost of each ticket.
Let's denote the number of tickets Joseph can buy as "t".
The cost of the hat is $12.50.
So, the remaining amount of money after purchasing the hat is:
$34.25 - $12.50 = $21.75.
Since each ticket costs $7.25, we can set up the following equation:
$7.25t = $21.75.
To solve for "t", we divide both sides of the equation by $7.25:
t = $21.75 / $7.25,
t = 3.
Therefore, Joseph can buy 3 tickets.