The lunch special at Jimmy John’s costs $5.60. The math club has $50.40 in its treasury. How many lunch specials can the club buy? Write and solve an inequality. Show your work.
i know that regularly you would just divide 50.40 by 5.60 but to display it as an inequality would the proper formula be.
5.60≤50.40
5.60/5.60≤50.40/5.60
=?
To solve the inequality, you are on the right track by using the formula 5.60≤50.40. However, to express this inequality as a mathematical statement, we need to use a variable to represent the number of lunch specials the club can buy. Let's use the variable x.
So, the inequality becomes:
5.60x ≤ 50.40
To solve for x, we need to isolate it on one side of the inequality, just as you would in a regular equation.
Dividing both sides of the inequality by 5.60, we have:
x ≤ 50.40 / 5.60
Now, we can simplify the right side of the inequality:
x ≤ 9
This means that the club can buy at most 9 lunch specials with the $50.40 in its treasury.
5.6x =< 50.40.
Clearly we don't know how many lunch specials we can buy
Let that number be n
So the cost of our n lunches would be 5.6n
Wouldn't 5.6n ≤ 60 ???
there is your inequality, I will let you solve it
You are showing just a bunch of numbers that happen to show up in your question