Question

John has 1 1/4 acres of land. it takes 80 1/2 pounds of fertilizer to cover one acre. How much fertilizer does John need to cover his land.

Answer 1

`area \: of \: land \: with \: john \: = 1 (1)/(4) \: acres \ \\ \\ = ((4 * 1) + 5)/(4) \\ \\ \\= (9)/(4) \: acres`

Quantity of fertilizer needed to cover 1 acre of land :-

`\: \ \\ = 80 (1)/(2) \: pounds \\ \\ = ((2 * 80) + 1)/(2) \\ \\ = (81)/(2) \: pounds`

Quantity of fertilizer needed by John to cover his land :-

`(9)/(4) * (81)/(2)`

`((9 * 2 ) * (81 * 4))/(8)`

`((18 * 324))/(8)`

`= (5832)/(8)`

`= 729 \: pounds`

∴ John needs 729 pounds of fertilizer to cover his land .