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, we need to isolate the variable w by subtracting 213 from both sides:

10w + 213 - 213 < 299 - 213

10w < 86

Then, divide both sides by 10 to solve for w:

w < 8.6

Since w represents the number of weeks, Ellie can save enough money after 8 weeks (as she has saved more than $299 by then). To be precise, she will have exactly $299 saved after 8 weeks.