Write the sentence as an equation containing parentheses. Solve the equation. Skate World charges $90 for 10 children and $8 for each additional child. How many children can be invited on a $170 budget? Let the number of children be x.
A) $100 + 8 ( x - 10 ) = 170 ; x = 20$
B) $90 + 8 ( x - 10 ) = 170 ; \quad x = 10$
C) $90 + 8 ( x - 10 ) = 170 ; \quad x = 20$
D) $100 + 8 ( x - 10 ) = 170 , \quad x = 10$
E) $90 - 8 ( x - 10 ) = 170 ; \quad x = 20$

Question

Quizplus · Accepted Answer

- Since Skate World charges $90 for 10 children, we know that $80 is being used for the 10 children ($8 per additional child). 
- Let x represent the number of additional children.
- Therefore, the equation would be: $80 + $8x = $170. 
- Solving for x, we get x = 10. 
- However, the question is asking for the total number of children that can be invited, so we need to add the 10 children already included in the $90. 
- Therefore, the answer is x + 10 = 20, which is only found in choice C.

Write the Sentence as an Equation Containing Parentheses 100+8(x−10)=170;x=20100 + 8 ( x - 10 ) = 170 ; x = 20100+8(x−10)=170;x=20

Write the Sentence as an Equation Containing Parentheses $100 + 8 ( x - 10 ) = 170 ; x = 20$