Hi, I need help with a question. Can someone please explain it to me?
In a certain county, the number of charter schools is 11 less than twice the number of Alternative schools. There are 35 charter schools in the county. Which of the following equations would you use to find the number of alternative schools, a, in the county?
2a-11=35
2a=35-11
2(a-11)=35
a-11 / 2 = 35
I think it is a, but I really don't know.
Thank you!
You are right.
Thank you @Ms.Sue
You're welcome.
To solve this question, you need to understand the given information and set up an equation to represent it. Let's break it down step by step:
1. "The number of charter schools is 11 less than twice the number of Alternative schools."
This means that the number of charter schools is 11 less than twice the number of Alternative schools. In mathematical terms, you can write this as: Charter Schools = 2 * Alternative Schools - 11.
2. "There are 35 charter schools in the county."
You are given that there are 35 charter schools. So, you can replace the "Charter Schools" with 35 in the equation above: 35 = 2 * Alternative Schools - 11.
Now, look at each of the equation options provided and see which one matches the equation we derived:
a) 2a - 11 = 35 - This equation matches the one we derived, where a represents the number of Alternative schools. Therefore, option a) is the correct equation.
b) 2a = 35 - 11 - This equation doesn't include the -11 part, so it does not represent the given information accurately.
c) 2(a - 11) = 35 - This equation represents that the number of Alternative schools is reduced by 11 and then doubled, which is not the same as the given information.
d) (a - 11) / 2 = 35 - This equation divides the difference between a and 11 by 2, which is not the same as the given information.
So, your intuition was correct! The correct equation to find the number of alternative schools, a, is 2a - 11 = 35 (option a).