grace will receive $50 plus $5 per child for babysitting this afternoon. she is hoping to make at least $63 to buy a video game tonight. how many children does she need to babysit

Let's represent the number of children Grace needs to babysit as "x".

Grace receives $5 per child, so the amount she receives for babysitting "x" children is 5x.

In addition, Grace will receive $50.

Therefore, the total amount she will receive is 5x + 50.

Since she wants to make at least $63, the inequality we can write is:
5x + 50 ≥ 63.

Subtracting 50 from both sides, we get:
5x ≥ 13.

Dividing both sides by 5, we get:
x ≥ 13/5.

However, since we are dealing with the number of children, we cannot have a fraction, so we will round up to the nearest whole number.

Therefore, Grace needs to babysit at least 3 children (the minimum whole number greater than 13/5).