Real-Life Math
You are a contracts coordinator in the medical research department of a city hospital. Yesterday, you finished rewriting the contract between one of the hospital's doctors and a large drug company. The drug company will be supplying a brand new drug that will be used in a clinical trial at the hospital.
Before you circulate the contract for the different parties to sign, you decide to read through it one more time. You want to make sure everything reads properly and that there are no errors that might delay the contract's approval.
As you sit at your desk reviewing the contract, your phone rings. It's the lawyer that you've been working with to get the contract finalized. The lawyer asks you to delay the signing of the contract, as one final change needs to be made.
As it turns out, the drug company wants to change 1 of the elements in the trial, which will in turn change the contract. Instead of limiting the trial to only 5 participants, they've decided that it should be expanded to include 10 participants.
The drug company is willing to pick up the additional cost of the drug, but needs you to rewrite the calculation and determine the new total cost. Once that's done, the contract can be sent to the remaining parties.
You flip to the page of the contract where it lists the details of the trial. The contract currently reads, "Five participants will test the drug at a cost of $5 per dose. Three of the participants will receive 1 dose, 1 of the participants will receive 2 doses and the final participant will receive 3 doses."
You bring up the contract on your computer and scroll ahead to that particular page. You replace the old wording with the new details. Now, it reads like this: "Ten participants will test the drug at a cost of $5 per dose. Five of the participants will receive 1 dose, 3 participants will receive 2 doses and 2 participants will receive 3 doses."
Now that the wording is correct, you can begin to calculate the cost of the new expanded trial.
How much will the new trial cost? How much more will it cost than the original trial?