Camie and Jorge each begin saving money for a new computer. Camie saves $5 per week plus $50 she receives for her birthday. Jorge saves $7 per week. Which of the following can be used to find w, the number of weeks until Jorge has saved at least the same amount as Camie?

Question

Camie and Jorge each begin saving money for a new computer. Camie saves $5 per week plus $50 she receives for her birthday. Jorge saves $7 per week. Which of the following can be used to find w, the number of weeks until Jorge has saved at least the same amount as Camie?

Answer 1

Let w be the number of weeks. Camie saves (5w+50) dollars, while Jorge saves 7w dollars. We then have:

7w ≥ 5w + 50
Subtracting 5w from both sides, we get:

2w ≥ 50
Dividing both sides by 2, we get:

w ≥ 25

Therefore, the number of weeks until Jorge has saved at least the same amount as Camie is 25 or more.

Thus, the answer is w ≥ 25.

Answer 2

To find the number of weeks until Jorge has saved at least the same amount as Camie, we can compare their savings.

Jorge saves $7 per week, so his total savings after w weeks is 7w.
Camie saves $5 per week, so her total savings after w weeks would be 5w.
In addition to the weekly savings, Camie also received $50 for her birthday, which means her total savings after w weeks would be 5w + 50.
To find the number of weeks until Jorge has saved at least the same amount as Camie, we can set up the equation:
7w ≥ 5w + 50.
Now, we can solve this equation to find the value of w.

Answer 3

To find the number of weeks until Jorge has saved at least the same amount as Camie, we need to set up an equation and solve for w, the number of weeks.

Let's start by finding an expression for the amount of money each person has saved after w weeks.

For Camie:
She saves $5 per week, so after w weeks, Camie will have saved 5w dollars.
She also receives $50 for her birthday, so the total amount she has saved after w weeks is 5w + 50 dollars.

For Jorge:
He saves $7 per week, so after w weeks, Jorge will have saved 7w dollars.

Now, let's set up the equation:
We want to find the number of weeks, w, where Jorge has saved at least the same amount as Camie. Mathematically, this can be represented as:
7w ≥ 5w + 50

To solve for w, we can subtract 5w from both sides of the equation:
7w - 5w ≥ 5w + 50 - 5w
2w ≥ 50

Finally, divide both sides of the equation by 2 to solve for w:
w ≥ 50/2
w ≥ 25

So, the number of weeks, w, until Jorge has saved at least the same amount as Camie is 25 or more.