Multiple choice

In order to fund a community garden project at the junction of two roads leading to two villages namely Riverdale and Walkersville, the organizing committee decided that each household in these villages would contribute a fixed amount of money. After collecting donations from Riverdale residents, which make up 80% of the total population of both the villages, the committee found that 64% of the required amount had been raised, averaging $400 per household. If the committee aims to gather the exact amount needed to establish the community garden, what should be the average donation from each household in Walkersville?

  1. $350
  2. $450
  3. $700
  4. $900
  5. $1,200
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let T be the total required amount and P be the total population. Riverdale (0.8P) raised 0.64T. Average donation in Riverdale = 0.64T / 0.8P = 0.8 * (T/P) = 400. Thus, T/P = 500. The remaining 0.36T must be raised by 0.2P. Average donation in Walkersville = 0.36T / 0.2P = 1.8 * (T/P) = 1.8 * 500 = 900.

AI explanation

Let the total population be 100 and the required donation amount be 100x. Riverdale makes up 80% of the population, which is 80 households, and they raised 64% of the required amount, totaling 64x. Since the average donation per household in Riverdale was \$400, the total raised is 80 multiplied by 400, which gives 32,000; equating this to 64x gives x = 500, making the total required amount 50,000. The remaining 20 households in Walkersville must raise the remaining 36% of the funds, which is 36x or 18,000. Dividing 18,000 by 20 households gives an average donation of \$900 per household.