Answer:
The number of race entries must be at least 1800.
Step-by-step explanation:
Suppose, the number of race entries is [tex]x[/tex]
It receives $75 per race entry. So, the total amount received from the race entries [tex]=\$75x[/tex]
It also receives $10000 in donations. So, the total amount received [tex]=(75x+10000) dollar[/tex]
Now, it must spend $25 per race entry to cover the cost of the race. So, the total amount spend for all race entries [tex]= \$25x[/tex]
Given that, the charity needs to raise at least $100,000. So, the inequality will be........
[tex](75x+10000)-25x\geq 100000\\ \\ 50x+10000\geq 100000\\ \\ 50x\geq 90000\\ \\ x\geq \frac{90000}{50} \\ \\ x\geq 1800[/tex]
So, the number of race entries must be at least 1800.
