Amir and Edward are twins, They want to invite their friends to celebrate birthday party at a bowling alley. They have a budget of $200 to plan their party. The party room at the bowling alley costs $55.99 to rent and includes a free birthday cake. The bowling alley charges each person $5.50 to bowl and pair of bowling shoes. Amir writes an equation that represents the cost of their birthday party, Edward writes an inequality. Both use p to represent the number of people that can attend. A. Write an equation Amir used and an inequality Edward used to represent the cost of their birthday party. Each brother believes that their statement best represents the situation. Amir thinks that his equation is the best representation for the situation. Edward argues that his inequality is the best representation for the situation. B. Which brother's statement best represents the situation? Explain.

A.

Amir's equation : 5.50 p + 55.99 =200

Edward's equation : 5.50 p+ 55.99 ≤ 200

B. Amir's equation presents the situation best because it gives the cost of the part as per the budget. Edward's equation gives room for lesser amounts to be used in case p< 26.

Step-by-step explanation:

The budget is $200

The party room charges $55.99

The charge per person is $5.50

Letting p =number of people that can attend the party, then

A.

Equation for cost that Amir use is;

$5.50*p + $55.99 = $200

5.50 p + 55.99 =200

5.50 p = 200-55.99

5.50 p =144.01

p= 144.01/5.50 = 26 Amir's equation will also give the number of people that can attend the party with the budget of $200

For Edward's case

$5.50 p +$55.99 ≤ $200

5.50 p+ 55.99 ≤ 200

5.50 p ≤ 200-55.99

5.50 p ≤ 144.01

p ≤ 144.01/5.50

p ≤ 26

Edward's inequality suggests that for the budget of $200 , 26 or less people can attend the party.

B. Amir's equation presents the situation best because it gives the cost of the part as per the budget. Edward's equation gives room for lesser amounts to be used in case p< 26.

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25