Question

The leukemia and lymphoma society sponsors a 5k race to raise money it receives $55 per race entry and $10000 in donations but it must spend $15 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 55,000

Answer 1

n >= 1125 First, make an equation to express the money raised after expenses. 55n - 15n + 10000 = m The above expression can be read as "55 dollars per running is raised, but 15 dollars is spent per running to support them. Plus we get 10000 as a constant regardless of how many runner we have." Now convert that to an inequality for at least 55000 to be raised. 55n - 15n + 10000 >= 55000 Now solve for n 55n - 15n + 10000 >= 55000 40n + 10000 >= 55000 40n >= 45000 n >= 1125 So there needs to be at least 1125 runners in order to meet the goal of $55,000.