A country club bought some single golf carts that cost $7,000 each, and some double golf carts that cost $11,000 each. A total of 24 golf carts were bought, for $228,000. How many single golf carts and how many double golf carts did the
country club buy?

9 single golf carts and 15 double golf carts.

Step-by-step explanation:

x = single golf carts and y = double golf carts

System equations:

x+y=24

7,000x+11,000y=228,000

Take the first system equation and subtract x from both sides to get

y=-x+24

Substitute the new equation into the second equation

7,000x+11,000(-x+24)=228,000

Distribute to get rid of the parenthesis

7,000x-11,000x+264,000=228,000

Combine like terms

-4,000x+264,000=228,000

Subtract

-4,000x=-36,000

Divide to get x

x=9

Substitute x into the first equation to get y

9+y=24

y=15

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.