Problema Solution
to landscape her 70 ft by 60 ft regular backyard, joy is planning first to put down a 4 in layer of topsoil. she can buy bags of topsoil at $2.50 per 3ft cubed bag with free delivery. or she can buy bulk topsoil for $22.00 yd cubed, plus $20 delivery fee. which option is less expensive? answer
Answer provided by our tutors
1 ft = 12 in
1 in = 1/12 ft
1 yd = 3 ft
1 ft = 1/3 yd
1 ft^3 = (1/3^3) yd^3
the volume needed is
70*60*4*(1/12) = 1400 ft^3
1400 ft^3 = 1400/27 yd^3
if she buys bags of topsoil at $2.50 per 3ft cubed bag with free delivery she will spend
2.50*1400/3 = $1,166.67
if she buys bulk topsoil for $22.00 yd cubed, plus $20 delivery fee she will spend
(1400/27)*22 + 20 = $1,160.74
the second options (bulk topsoil for $22.00 yd cubed, plus $20 delivery fee) is the less expensive one.