Question

a family inherits 25 plots of land with each plot equal to 4/5 of an acre. the whole area was then divided between the members of the family so that each gets 10/3 acres of land. How many members were in the family ?

Answer 1

Answer:

There are 6 members in the family

Step-by-step explanation:

$total \: number \: of \: plots \: of \: land \: = 25 \\ let \: the \: number \: of \: members \: in \: the \: family \: be \: x. \\ 1 \: plot = \frac{4}{5} acre \\ = > 25 \: plots \: = \frac{4}{5} \times 25 = 4 \times 5 = 20 \: acres \\ \\ 1 \: member \: gets \: \frac{10}{3} \: acres \: of \: land \\ = > x \: members \: together \: get \: 20 \: acres \: of \: land \\ = > \frac{10}{3} \times x = 20 \\ = > x = \frac{20 \times 3}{10} = 6$