Question

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?

Answer 1

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

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

Answer 2

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