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.

Question

After how many weeks will Ellie have enough money saved? Ellie writes the inequality 10w + 213 ≥ 299, where wis the number of weeks, to help figure this out. Solve her inequality.

w ≥ 8.6

w ≥ 860

w ≥ 51.2

w ≥ 86

Answer 1

To solve the inequality 10w + 213 ≥ 299, we first subtract 213 from both sides of the inequality:

10w ≥ 299 - 213
10w ≥ 86

Then, we divide both sides of the inequality by 10:

w ≥ 86 / 10
w ≥ 8.6

Therefore, Ellie will have enough money saved after 8.6 weeks. However, since we can't have a fraction of a week, we round up to the nearest whole number. This means that Ellie will have enough money saved after 9 weeks.

So, the correct answer is: w ≥ 9