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 inequity 10w + 213> 299 where w is the number of weeks to help figure this out solve her inequity

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 inequity 10w + 213> 299 where w is the number of weeks to help figure this out solve her inequity

Answer 1

To solve the inequality, we want to isolate the variable w on one side of the equation.

10w + 213 > 299

First, we can subtract 213 from both sides of the inequality:

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 need more than 8.6 weeks to save up enough money. However, we cannot have a fractional number of weeks, so we must round up to the next whole number. Therefore, Ellie will need at least 9 weeks to save enough money.