This equation shows how the cost of a charity gala depends on the number of attendees. d = 5.1a + 11.6 the variable a represents the number of attendees, and the variable d represents the cost in dollars. how many attendees can there be, at most, if the budget for the charity gala is $98.30?

$98.30=5.1a+11.6
98.30-11.6=5a+11.6-11.6
86.7=5a
86.7/5=5a/5
17.34=a
So only 17 people can attend

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

there is no question content here, but you for the free points! : d