Mary spent a total of $292.63 for a party. She spent $200.71 on food, plus an additional $30.64 for each hour of the party. How long was the party?

x = 3 hours

Step-by-step explanation:

What we know:

= $292.63

$200.71

+ $30.64x

$200.71 + $30.64x = $292.63

Solving for x:

292.63 - 200.71 = 91.92

$30.64x = $91.92

91.92 / 30.64 = 3

x = 3 hours

Answer: 3 hours

Step-by-step explanation:

Total amount spent (x) = $292.63

Amount spent on food (y) = $200.71

Amount remaining =

$292.63 - 200.71 = $91.92

Additional money spent per hr (z) = $30.64

Therefore, to calculate for the number of hours for the party;

= x-y / z

= $91.92 / $30.64

= 3 hours