20 points ! the children’s hospital sponsors a 10k race to raise money. it receives $75 per race entry and $10,000 in donations, but it must spend $25 per race entry to cover the cost of the race. write and solve an inequality to determine the number of race entries the charity needs to raise at least $100,000.

The number of race entries must be at least 1800.

Step-by-step explanation:

Suppose, the number of race entries is  

It receives $75 per race entry. So, the total amount received from the race entries

It also receives $10000 in donations. So, the total amount received

Now, it must spend $25 per race entry to cover the cost of the race. So, the total amount spend for all race entries

Given that, the charity needs to raise at least $100,000. So, the inequality will be........

So, the number of race entries must be at least 1800.

there is no question content here, but you for the free points! : d