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Tiana is receding the picnic area for the farm. The lawn covers to 278 square yards and grass seeds is $15.98 for each 7-pound bag. Each pound of grass seed covers 150 square feet. How much will it cost to reseed the lawn?(Show the problem in dimensional analysis)

Respuesta :

Total area = 278 yd 2

Cost = $15.98 per a 7-pound bag

1 pound of grass = 150 ft2

Convert the area to ft2

1 yd2 --------------------- 9 ft2

278 yd2 -------------------- x

x = 2502 ft2

1 pound of grass ----------------- 150 ft2

x ----------------- 2502 ft2

x = (2502 x 1) / 150

x = 16.68 pounds of grass

$15.98 ---------------------------- 7 pounds

x --------------------------- 16.68 pounds

x = (16.68 x 15.98) / 7

x = $38