Ellie is saving to buy a phone she wants at least $299 saved before buying one she currently has 213 saved she received the $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 the inequality

Question

w≥8.6
w≥51.2
w≥86
w≥860

Answer 1

To solve the inequality 10w + 213 ≥ 299, we need to isolate the variable w.

First, subtract 213 from both sides:

10w + 213 - 213 ≥ 299 - 213
10w ≥ 86

Now, divide both sides by 10:

10w/10 ≥ 86/10
w ≥ 8.6

Therefore, Ellie will have enough money saved after at least 8.6 weeks.

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

So the correct answer is w ≥ 9.