Grace will receive $50 plus $5 per child for babysitting this afternoon. She is hoping to make at least $63 to buy a new video game tonight. How many children does she need to babysit? Write an inequality that could be used to solve this problem. Use the letter x as the variable. Do not solve the inequality.
Let x represent the number of children Grace needs to babysit. To write an inequality for this situation:
Grace earns $5 for each child she babysits, and she gets a fixed amount of $50. She wants to make at least $63. Therefore, the total amount she makes should be greater than or equal to $63. Our inequality would look like this:
50 + 5x ≥ 63