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)

Answer 1

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

1. Start by subtracting 213 from both sides of the inequality to get rid of the constant term:
10w + 213 - 213 ≥ 299 - 213
10w ≥ 86

2. Next, divide both sides of the inequality by 10 to solve for w:
(10w)/10 ≥ 86/10
w ≥ 8.6

So Ellie will have enough money saved after at least 8.6 weeks. However, since you cannot have a fraction of a week, you should round up to the nearest whole number. Therefore, it will take Ellie at least 9 weeks to save enough money.