Ellie is saving to buy a phone. She wants to have at least $299 saved before buying one. She currently has $213 saved, and she receives $10 a week as an allowance from her parents. After how many weeks will Ellie have enough money saved? Ellie writes the inequality 10w+213≥299 , where w is the number of weeks, to help figure this out. Solve her inequality.

To solve the inequality \( 10w + 213 \geq 299 \), we start by isolating \( w \).

1. Subtract 213 from both sides of the inequality:

\[ 10w \geq 299 - 213 \]

2. Simplify the right side:

\[ 10w \geq 86 \]

3. Now, divide both sides by 10 to solve for \( w \):

\[ w \geq \frac{86}{10} \]

4. Simplifying the fraction gives:

\[ w \geq 8.6 \]

Since \( w \) represents the number of weeks, and it must be a whole number, we round up \( 8.6 \) to the next whole number, which is 9.

Thus, Ellie will have enough money saved after 9 weeks.