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? Write an inequality that could be used to solve this problem.
A. 213w + 10 ≤ 299, where w is the number of weeks. 213w + 10 is less than or equal to 299, where w is the number of weeks.
B. 10w + 213 ≤ 299, where w is the number of weeks. 10w + 213 is less than or equal to 299, where w is the number of weeks.
C. 10w + 213 ≥ 299, where w is the number of weeks.10w + 213 is greater than or equal to 299, where w is the number of weeks.
D. 213w + 10 ≥ 299, where w is the number of weeks.213w + 10 is greater than or equal to 299, where w is the number of weeks.
Question 2
Solve the inequality and make sure to show each step of using inverse operations. After how many weeks will Ellie have enough money saved? Show all steps and answer like a 12 year old girl
To solve the inequality, we will use inverse operations.
The inequality is: 10w + 213 ≥ 299, where w is the number of weeks.
First, we subtract 213 from both sides of the inequality:
10w + 213 - 213 ≥ 299 - 213
10w ≥ 86
Next, we divide both sides of the inequality by 10:
10w/10 ≥ 86/10
w ≥ 8.6
Since we cannot have a fraction of a week, Ellie will need to save for at least 9 weeks to have enough money saved.
Therefore, the answer is: Ellie will have enough money saved after 9 weeks.