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 be the number of weeks that Maria saves money.
Since Maria saves $19 each week, the amount of money she saves after x weeks is 19x.
Maria's initial amount is $50, so her total savings after x weeks is 50 + 19x.
The equation that represents this is px + q = r, substituting the values we have: 19x + 50 = 259.
Let's assume the number of weeks it takes for Maria's account to reach $259 is denoted by "x".
Given that Maria opens her account with $50, and saves $19 each week, the equation representing this problem would be:
50 + 19x = 259
So, the equation in the form px + q = r is:
19x + 50 = 259
To solve this problem, let's first represent the number of weeks using a variable. Let's call the number of weeks "x".
Given that Maria saves $19 each week, we can represent the amount she saves each week as 19x. Since she opens the account with $50, the initial amount in the account can be represented as 50.
To find the total amount in her account after x weeks, we add the initial amount ($50) to the amount she saves each week (19x). This can be represented as:
50 + 19x = r
Here, "r" represents the total amount in her account after x weeks.
Now, to solve the problem, we need to find the value of x when the total amount in her account is $259. We can substitute $259 for "r" in the equation and solve for x.
50 + 19x = 259
To isolate the variable x, we subtract 50 from both sides of the equation:
19x = 259 - 50
19x = 209
Finally, to solve for x, we divide both sides of the equation by 19:
x = 209 / 19
Using a calculator, we find that x ≈ 11.
Therefore, it will take Maria approximately 11 weeks for her account to reach $259.
is that correct
Apologies for the mistake. Let's correct the calculation:
50 + 19x = 259
Subtract 50 from both sides:
19x = 209
Divide both sides by 19:
x = 209 / 19
Using a calculator, we find that x ≈ 11.
Therefore, it will take Maria approximately 11 weeks for her account to reach $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's represent the number of games they played last season as x.
According to the problem, the number of games they played this season is 7 games fewer than 2 times the number of games they played last season.
So, the equation representing this situation would be:
2x - 7 = 15
Therefore, the equation in the form px + q = r is:
2x - 7 = 15