Question

Imagine you are working for Hasbro making Gummy Bear containers. On a day to day basis you fill up two different size containers with gummy bears. One of the containers is4.8 x 5.0 x 6.0 in dimensions and contains 242 gummy bears. The other is 6.2 x 10.0 X 9.0 in dimensions. About how many gummy bears would fit in the box? Round to the nearestwhole number.

Answer 1

There are two containers with different volumes:

Container 1: The dimensions are 4.8 x 5.0 x 6.0. The volume is calculated to be:

`V_1=4.8*5.0*6.0=144\text{ cubic units}`

Container 2: The dimensions are 6.2 x 10.0 X 9.0. The volume is calculated to be:

`V_2=6.2*10.0*9.0=558\text{ cubic units}`

The question provides that the first container contains 242 gummy bears. This follows that the number of gummy bears per cubic unit is given to be:

`\Rightarrow(242)/(144)=(121)/(72)\text{ gummy bears per cubic volume}`

Therefore, in container 2, we can have the number of gummy bears to be:

`\Rightarrow(121)/(72)*558=937.75\text{ gummy bears}`

To the nearest whole number, the number of gummy bears is 938 gummy bears.