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, we can begin by subtracting 213 from both sides to isolate the variable term on the left side:

10w + 213 - 213 ≥ 299 - 213

This simplifies to:

10w ≥ 86

Next, we can divide both sides of the inequality by 10 to solve for w:

10w/10 ≥ 86/10

This simplifies to:

w ≥ 8.6

Since w represents the number of weeks, Ellie will have enough money saved after 9 weeks.