Answer:

Step-by-step explanation:
Given :
Children's Hospital sponsors a 10k race to raise money.
It receives $75 per race entry .
It receives $10,000 in donations
It must spend $25 per race entry to cover the cost of the race.
To Find : Write and solve an inequality to determine the number of race entries the charity needs to raise at least $100,000.
Solution :
Let number of race entries be x
We are given that cost of each entry is $75 and it spend $25 of each entry to cover the cost of race .
So, they are remaining with $75-$25=$50 per race entry
So, the actual amount they are getting from each entry = $50
Since there are x entries so cost of x entries will be $50x
And they are getting $10,000 in donations .
So, Total amount they are getting = $50x+$10,000
Since the charity needs to raise at least $100,000.
So, inequality becomes :
⇒
⇒
⇒
⇒
⇒
Thus number of race entries should be at least 1800 .