A church community has 1 080 volunteer hours available each month. They wish to allocate these hours among three ministries: feeding the poor (F), teaching children (T), and caring for the elderly (E). Their allocation rules are:

1. The hours for feeding the poor are twice the hours for teaching children ($F = 2T$).
2. The hours for caring for the elderly are 20 % more than the combined hours for feeding the poor and teaching children ($E = 1.20(F + T)$).
3. Each ministry must receive at least 150 hours.

Determine the exact number of hours allocated to each ministry that satisfies all the conditions. Give your answers to two decimal places.

Question

A church community has 1 080 volunteer hours available each month. They wish to allocate these hours among three ministries: feeding the poor (F), teaching children (T), and caring for the elderly (E). Their allocation rules are:

1. The hours for feeding the poor are twice the hours for teaching children ($F = 2T$).
2. The hours for caring for the elderly are 20 % more than the combined hours for feeding the poor and teaching children ($E = 1.20(F + T)$).
3. Each ministry must receive at least 150 hours.

Determine the exact number of hours allocated to each ministry that satisfies all the conditions. Give your answers to two decimal places.

Accepted Answer

Teaching: 163.64 hrs, Feeding: 327.27 hrs, Elderly: 589.09 hrs

Neco Model Questions Vol1 2017 Christian Religious Studies Question 15

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