Question

14. The drama club spent $608 on food

for a party for its 38 members. The hall
they rented costs $40 per hour. The
door prize was worth $200. Let a be
the amount spent on food per person
and b be the number of hours they
rented the hall.
Part A
Write an equation to represent how
much was spent on this event. Let S
be the total amount spent.
sttickets
Part B
Find how much the club spent on
food per person.

Answer 1

Part A:

Find the total amount spent on the event using the given information.

The total amount spent is the sum of the cost of food, cost of renting the hall, and the cost of the door prize.

Let S be the total amount spent.

Cost of food = $608

Cost of renting the hall = $40b (since the hall rental is $40 per hour and they rented it for b hours)

Cost of door prize = $200

Therefore, the equation for the total amount spent is:

S = 608 + 40b + 200

S = 40b + 808

Part B:

We are given that there are 38 members in the club. Let a be the amount spent on food per person.

Total cost of food = 38a

From the given information, we know that the total cost of food is $608.

So, we can write the equation:

38a = 608

Dividing both sides by 38:

a = 16

Therefore, the club spent $16 on food per person.

Hope I helped you...