In purchasing food for a political rally, you erroneously order shucked medium-size Pacific oysters (which come 8 to 12 per U.S. pint) instead of shucked medium-size Atlantic oysters (which come 26 to 38 per U.S. pint). The filled oyster container shipped to you has the interior measure of 1.5 m x 18 cm x 28 cm, and a U.S. pint is equivalent to 0.4732 liter. By how many oysters is the order short of your anticipated count? Assume 10 oysters per pint for Pacific oysters and 32 oysters per pint for Atlantic oysters.

Question

contestada

Respuesta :

valetta valetta · Answer 1 · 2019-11-01T06:07:47+01:00

Answer:

3515

Step-by-step explanation:

Data provided in the question:

Dimension of the container = 1.5 m x 18 cm x 28 cm

volume of the container = 150 cm × 18 cm × 28 cm = 75600 cm³

also,

1 L = 1000 cm³

thus,

volume of the container = [tex]\frac{75600}{1000}[/tex] = 75.6 L

Volume of the U.S pint = 0.4732 L

therefore,

Number of pint in the container = [tex]\frac{\textup{Volume of container}}{\textup{Volume of pint}}[/tex]

= [tex]\frac{\textup{75.6 L}}{\textup{0.4732 L}}[/tex]

= 159.76

Also it is given that

Number of Pacific oysters per pint = 10

Number of Atlantic oysters per pint = 32

Thus,

for 159.76 pint

Pacific oysters in container = 10 × 159.76 = 1597.6 ≈ 1598

Atlantic oysters in the container = 32 × 159.76 = 5112.42 ≈ 5113

hence,

order short of your anticipated count = 5113 - 1598 = 3515