Your sister is very sick and your doctor prescribed medicine. You need to give your sister 550mg of medicine every 8 hours for the next 3 weeks. The medicine is only sold in 225mg tablets. A bottle of 18 tablets cost k10.95. How many bottles of medicine should you buy to save your sister and how much will it cost.

1 answer

To calculate the total dosage of medicine your sister needs over three weeks, we first need to determine how many times she needs to take it in a day. Since she needs to take the medicine every 8 hours, there are 24 hours divided by 8 hours, which equals 3 doses per day.

Next, we need to calculate the total number of days in three weeks. Since a week has 7 days, three weeks will have 3 * 7 = 21 days.

Therefore, the total number of doses your sister needs over three weeks is 3 doses/day * 21 days = 63 doses.

Now we need to calculate the total amount of medicine required in milligrams (mg) for these 63 doses. Each dose is 550mg, so the total amount needed is 550mg/dose * 63 doses = 34,650mg.

Given that each tablet contains 225mg, we need to calculate how many tablets your sister needs to reach a total of 34,650mg. So, dividing the total amount needed by the amount in each tablet: 34,650mg / 225mg = 154 tablets.

Since each bottle has 18 tablets, we divide the total number of tablets needed by the number of tablets in each bottle: 154 tablets / 18 tablets/bottle = 8.56 bottles.

Since you can't buy a fraction of a bottle, you would need to purchase 9 bottles to have enough medicine.

The total cost of 9 bottles at k10.95 each is 9 * k10.95 = k98.55.

Therefore, you should buy 9 bottles of medicine to save your sister, and it will cost k98.55.
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