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 ≥ 299, we first need to isolate w on one side of the equation.
Subtracting 213 from both sides of the inequality, we get:
10w ≥ 299 - 213
10w ≥ 86
Next, we divide both sides of the inequality by 10:
w ≥ 8.6
Since w represents the number of weeks, it cannot be a decimal. Therefore, we round up 8.6 to the nearest whole number, which is 9.
Thus, Ellie will have enough money saved after 9 weeks.