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)

Question

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)

w > 51.2
w > 8.6
w > 860
w > 86

Answer 1

To solve the inequality, we need to isolate w on one side of the equation.

First, we subtract 213 from both sides to get:
10w ≥ 299 - 213
10w ≥ 86

Then, we divide both sides by 10 to solve for w:
w ≥ 86/10
w ≥ 8.6

So, the solution to the inequality is w > 8.6

Therefore, after at least 9 weeks, Ellie will have enough money saved to buy the phone.