Answer: 22
Step-by-step explanation:
One subscription costs $20, we can say number of subscriptions will cost 20.
<em>(Eg. 1 subscription is $20, 2 subscriptions will be $40, 3 subscriptions will be $60 and so on.)</em>
The school receives half of the total sales. That means if the total sales is 20, the school will receive:
The school will have to pay $18 once, that means: -18 is the net amount the school will receive.
This amount must be greater than or equals to $200, we can convert this statement in an equation: -18 ≥ 200
We solve this inequality. Remember, when solving the inequality you treat the sign similar to an equals to sign. That means all operations <em>(subtraction, addition, change of sign are according to the same rules.)</em>
-18 ≥ 200
<em>(solve the fraction first)</em>
10-18 ≥ 200
10 ≥ 200+18 <em>(bring 18 to the other side of the inequality, hence sign change)</em>
10 ≥ 218
≥ 218/10 <em>(divide the entire inequality by 10)</em>
≥ 21.8
Number of subscriptions will always be a whole number. Hence the lowest possible whole number that satisfies the inequality is 22.