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. Solved the inequality's and make sure to show each step. after how many weeks will ellie we have enough money saved

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. Solved the inequality's and make sure to show each step. after how many weeks will ellie we have enough money saved

Answer 1

To solve the inequality 10w + 213 ≥ 299, we can start by subtracting 213 from both sides of the equation:

10w + 213 - 213 ≥ 299 - 213

This simplifies to:

10w ≥ 86

Then, we divide both sides of the equation by 10 to isolate w:

10w/10 ≥ 86/10

This gives us:

w ≥ 8.6

Since Ellie cannot have a fraction of a week, we round up to the nearest whole number.

Therefore, Ellie will have enough money saved in 9 weeks.