Question

Jasmine's dad is planning a surprise party for her. He will hire a bouncy castle and will provide party

food for all the guests. The bouncy castle costs $150 for the afternoon and the food will cost $3 per
person. Andrew, Jasmine's Dad, has a budget of $300. Write an equation and use it to determine the
maximum number of guests he can invite.

A. 300x = 3 + 150
B. 3x +150 = 300
C. 150 - 300 = 3x
D. 150 - 3x = 300

Answer 1

B. 3x + 150 = 300

x = 50

The maximum number of guests that he can invite is 50.

Explanation:

x will be equal to the amount of people going to the party. Since for food it will cost $3 per person, it will be 3 times the amount of people coming to the party for the cost of food (3x.) Since the bouncy caste costs $150 that will just be added to the cost for food (3x + 150). Since they have a budget of $300 we need to set the equation equal to $300.

To solve this we need to first get all of the variables on one side and to do that we need to subtract 150 from both sides to have 3x = 150. Now, we have to get the x value on its own so we have to divide both sides by 3. Our final answer would be x = 50. The maximum number of guests that he can invite is 50.