The leukemia and lymphoma society sponsors a 5k race to raise money. it receives $55 per race entry and $10,000 in donations, but it must spend $15 per race 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. show your work.

race entry costs 55, they use 15 of it to cover costs so they get 55-15 = 40 per entry

 x = race entries

equation becomes 55000>= 40x +10000

45000>= 40x

x >= 45000/40 >= 1125

 they need at least 1125 race entries to make $55,000

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.