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.(1 point)
To solve the inequality 10w + 213 ≥ 299, we need to isolate the variable w.
First, subtract 213 from both sides of the inequality:
10w + 213 - 213 ≥ 299 - 213
10w ≥ 86
Then, divide both sides of the inequality by 10 to solve for w:
w ≥ 8.6
Since we can't have a fraction of a week, we round up to the nearest whole number.
Therefore, Ellie will have enough money saved after 9 weeks.