Question

The human stomach has a maximum capacity of 4.2 quarts. If a raisin has a volume of 0.2 mL, how many raisins can fill the stomach? (1 qt = 0.946 L). Do not use scientific notation.

Answer 1

200+ do not trust me on this but i did the math and got 224

Answer 2

Step 1 : Convert volume of stomach from quarts to L

Let us set up the equation for converting quarts to L. The conversion factor is 1 qt = 0.946 L

$\frac{1qt}{0.946L} = \frac{4.2qt}{x}$

On cross multiplying we get,

$x=\frac{4.2qt*0.946L}{1qt}$

x = 3.9732 L

Step 2 : Convert L to mL

The conversion factor L to mL is 1 L = 1000 mL

$\frac{1L}{1000 mL} = \frac{3.9732L}{x}$

On cross multiplying we get,

$x= \frac{3.9732L*1000 mL}{1L}$

x = 3973.2 mL

Step 3 : Finding number of raisins

The volume of human stomach is 3973.2 mL

The volume of a raisin is 0.2 mL

Number of raisins = volume of human stomach / volume of a raisin

Number of raisins = $\frac{3973.2mL}{0.2mL}$

Number of raisins = 19866

19866 raisins can fill the stomach