How Much of a Budget is Left for Other Operations After Allocating for Anti-Malaria Drugs and Immunizations?

In the realm of health clinics, efficient budget allocation is crucial for meeting the diverse needs of the community. This article will delve into an example problem to understand how a clinic allocates its budget for essential medical supplies and what fraction remains for other operations. Let's break down the scenario step by step.

Initial Budget and Allocation for Anti-Malaria Drugs

Let's denote the total budget by B. Initially, the clinic spends 1/3 of its budget on anti-malaria drugs. This can be mathematically represented as:

Anti-malaria Drugs

[ text{Anti-malaria drugs} frac{1}{3}B ] After the clinic spends 1/3 of its budget on anti-malaria drugs, the remaining budget is:

Remaining Budget After Anti-Malaria Drugs

[ text{Remaining budget} B - frac{1}{3}B frac{2}{3}B ]

Further Allocation for Immunizations

Next, the clinic allocates 3/5 of the remaining budget to immunizations. To find the amount spent on immunizations, we calculate as follows:

Immunizations

[ text{Immunizations} frac{3}{5} times frac{2}{3}B frac{3 times 2}{5 times 3}B frac{2}{5}B ]

Total Amount Spent on Anti-Malaria Drugs and Immunizations

Now, we need to determine the total amount spent on both anti-malaria drugs and immunizations. By adding the two fractions, we get:

Total Spent

[ text{Total spent} frac{1}{3}B frac{2}{5}B ] To add these fractions, a common denominator is required. The least common multiple of 3 and 5 is 15. Converting each fraction, we have: [ frac{1}{3}B frac{5}{15}B ] [ frac{2}{5}B frac{6}{15}B ] Adding these fractions together, we get: [ text{Total spent} frac{5}{15}B frac{6}{15}B frac{11}{15}B ]

Remaining Budget for Other Operations

Finally, to find out how much of the budget is left for other operations, we subtract the total amount spent from the initial budget B.

Budget Left for Other Operations

[ text{Budget left} B - frac{11}{15}B frac{4}{15}B ] Therefore, the fraction of the budget that is left for doing other things is: [ frac{4}{15} ]

Conclusion

In summary, after allocating a portion of the budget to anti-malaria drugs and immunizations, the clinic has 4/15 of the original budget remaining for other operational needs. This efficient allocation ensures that essential programs can continue while still allowing for flexibility in addressing additional healthcare requirements.

Key Takeaways

- A clinic spends (frac{1}{3}) of its budget on anti-malaria drugs. - After accounting for the anti-malaria drugs, (frac{2}{3}) of the budget remains. - (frac{3}{5}) of the remaining budget is allocated to immunizations. - The total amount spent on both anti-malaria drugs and immunizations is (frac{11}{15}) of the total budget. - The remaining budget for other operations is (frac{4}{15}) of the total budget.

Understanding budget allocation helps in managing the resources effectively, ensuring that health clinics can provide preventive and curative services to the community.