Question

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.

Answer 1

Answer:

OK so there is $75 per race and you have $10,000 in donations and you need a total of 100,000 take 25 from your 75 which gives you 50 then you gonna take your 100,000 subtract it by your 10,000 would you get 90,000 then take your 50 and divided by 90,000 so you have 1800 and answer that you will need are the inequality is 100,000-10,000 divided by (75-25)

Step-by-step explanation:

Answer 2

THE ANSWER:

There would need to be at least 1,800 entries in order for them to meet their goal.

Step-by-step explanation:

To find this, we must write an equation that helps solve it. We know that for every entry (x), we gain 75 and lose 25. We can express this as the following.

75x - 25x

Then we can add the number of donations.

75x - 25x + 10,000

Then we can set it as greater than or equal to the goal number.

75x - 25x + 10,000 ≥ 100,000

Now we solve this using the order of operations.

75x - 25x + 10,000 ≥ 100,000 ----> Combine like terms

50x + 10,000 ≥ 100,000 ------> Subtract 10,000

50x ≥ 90,000 -----> Divide by 50

~~~~~~~~~x ≥ 1,800~~~~~