Maria opens a savings account with $50 and then saves $19 each week. How many weeks will it take her to reach 259? Represent it with the form pr + q = r
The equation to represent the number of weeks it will take Maria to reach $259 will be in the form pr + q = r, where:
p = $19 (savings per week)
q = $50 (initial amount)
r = $259 (target amount)
So, the equation will be:
19w + 50 = 259
where w is the number of weeks it will take Maria to reach $259.
To solve this problem, we can represent it using the form pr + q = r, where p represents the number of weeks, q represents the initial amount, r represents the target amount, and the expression pr + q represents the amount of money Maria will have after p weeks.
In this case, we know that q, the initial amount, is $50. We also know that Maria saves $19 each week, so we can say that the amount Maria will have after p weeks is 19p + 50.
We want to find the number of weeks it will take for Maria to reach a target amount of $259, so we can set up the equation as follows:
19p + 50 = 259
To solve for p, we need to isolate it on one side of the equation. First, we can subtract 50 from both sides of the equation:
19p = 259 - 50
19p = 209
Next, we divide both sides of the equation by 19 to solve for p:
p = 209 / 19
p ≈ 11
Therefore, it will take Maria approximately 11 weeks to reach a savings amount of $259.
To solve this problem using the form pr + q = r, we can assign the following values:
p = 19 (Amount Maria saves each week)
q = 50 (Initial amount Maria has in her savings account)
r = 259 (Target amount Maria wants to reach)
By substituting the given values into the equation, we have:
19w + 50 = 259
Now, let's solve for w:
19w = 259 - 50
19w = 209
w = 209 / 19
w ≈ 11
So, it will take Maria approximately 11 weeks to reach $259.