Underwater Weddings Inc. offers two types of packages: Backyard Swimming Pool and Crystal Blue Caribbean. Last weekend, the company performed 5 marriages in swimming pools and 2 in the Caribbean. If the company took in a total of $55,000, and the swimming pool weddings cost 10,000 less than the Caribbean ones, how much did each type of wedding cost?

Swimming pool wedding costs 5,000 and caribbean ones cost 15,000

Step-by-step explanation:

Set up a system of equations.

Let x = the cost of swimming pool marriages, y = cost of Caribbean marriages, and c=total cost

55,000=5x+2y

x=y-10,000

Substitute x=y-10000 into the original equation and solve for y

55,000=5 (y-10000) + 2y

55,000=5y-50,000+2y, Simplify by adding 50000 to each side

105,000=7y, divide by 7

y=15000, Substitute y back into the equation and solve for x

x=15,000-10,000

x=5,000

swim = car - 10000

55000=5swim + 2car

55000 = 5 (car-10000) + 2car

distribute

55000 = 5 car - 50000 + 2 car

combine like terms

55000 = 7 car - 50000

add 50000 to each side

105000=7 car

divide by 7

car = 15000

swim = car - 10000

swimming = 15000-10000

swim = 5000

Answer: caribean cost 15000

backyard swimming 5000