Maria opens a savings account with $50 and then saves $19 each week. How many weeks will it take for her account to reach $259? Represent this problem with an equation in the form px+q=r
Let x represent the number of weeks it will take for her account to reach $259.
The amount of money she saves each week can be represented by 19x (19 dollars multiplied by the number of weeks).
Her initial amount in the account is $50.
Therefore, her total amount in the account after saving for x weeks can be represented by the equation:
50 + 19x = 259
Annette’s soccer team will play 15 games this season. That is 7 games fewer than 2 times the number of games they played last season. How many games did they play last season? Represent this problem with an equation in the form px+q=r
Let x represent the number of games they played last season.
The number of games they will play this season is 2x - 7 (twice the number of games plus 7 less).
According to the problem, the number of games they will play this season is 15.
Therefore, the equation can be represented as:
2x - 7 = 15
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
Let x represent the number of weeks it will take for Destiny's account to reach $343.
The amount of money she deposits each week can be represented by 27x (27 dollars multiplied by the number of weeks).
Her initial amount in the account is $100.
Therefore, her total amount in the account after x weeks can be represented by the equation:
100 + 27x = 343
To solve for x, we need to isolate x on one side of the equation by subtracting 100 from both sides:
27x = 343 - 100
27x = 243
Finally, divide both sides of the equation by 27 to solve for x:
x = 243 / 27
x = 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 1/3 the number of games they played last season. How many games did they play last season
Let x represent the number of games they played last season.
According to the problem, the number of games they will play this season is 12 more than 1/3 of the number of games they played last season.
1/3 of the number of games they played last season can be represented as (1/3)x.
Therefore, the equation can be represented as:
(1/3)x + 12 = 21
To solve for x, we need to isolate x on one side of the equation by subtracting 12 from both sides:
(1/3)x = 21 - 12
(1/3)x = 9
Finally, multiply both sides of the equation by 3 to solve for x:
x = 9 * 3
x = 27
Therefore, they played 27 games last season.
Interpret the meaning of the solution to the equation 2.50h+7.5=20 where 20 is the price in dollars that Kallie spent to go bowling. It also costs $7.50 to rent a pair of bowling shoes and $2.50 per hour for a bowling lane
The solution to the equation is given by h = 4, where h represents the number of hours Kallie spent bowling. This means that Kallie spent 4 hours bowling.
The equation itself, 2.50h + 7.5 = 20, represents the total cost in dollars that Kallie spent to go bowling. The term 2.50h represents the cost of renting the bowling lane for h hours, and 7.5 represents the cost of renting a pair of bowling shoes. The total sum of these costs, 2.50h + 7.5, should equal the total amount Kallie spent, which is $20.
Therefore, by solving the equation and finding that h = 4, we can conclude that Kallie spent 4 hours bowling, and the total cost for renting the lane and shoes added up to $20.