Question

1. enter your answer only. use only numbers. do not use letters.

the solution to - 8 = 5n + 4 - 9n is n = ____

1. kennedy and her three friends are going to the winter dance. the entrance fee is

$10 a person and each snack costs $2. each friend bought the same number of snacks
and the group spent $48.

let x represent the number of snacks.

which equation could be used to find how many snacks each friend bought?

a. 2x + 10 = 48
b. (2x + 10) + (2x + 10) = 48
c. 4(10x + 2) = 48
d. 4(2x + 10) = 48

Explanation:

Step1: Combine like terms on right

$-8 = (5n - 9n) + 4$ → $-8 = -4n + 4$

Step2: Subtract 4 from both sides

$-8 - 4 = -4n$ → $-12 = -4n$

Step3: Divide both sides by -4

$n = \frac{-12}{-4} = 3$

Total people: Kennedy + 3 friends = 4. Each person pays $10 entrance + $2x snacks. Total cost: 4*(2x + 10) = 48, which matches option D.

Answer:

3
D. 4(2x + 10) = 48