Question

At Shower and Body Works, there are different sizes of lotion dispensers. Two of the

versions are shown below.

Bottle X

$9.96

Bottle Y

$14.40

6in

3 in.

Part A: How many times more lotion is in Bottle Y than in Bottle X

Answer 1

2.5 times

Explanation:

From the diagram attached below;

let's calculate the volume of each bottle;

SO for bottle X;

we have ;

Volume of X =
`(1)/(2)*2*1*6`

Volume of X =
`6 \ \ in^3`

Volume of Y =
`(1)/(2)*3*2.5*4`

Volume of Y =
`15 \ \ in^3`

The ratio of Y to X can help us to determine how many times more lotion is in Bottle Y than in Bottle X; So taking their ratio ; we have:

`\mathbf{(volume \ of \ Y )/(volume\ of \ X) = (15)/(6) }`

= 2.5 times

Thus; Bottle Y has 2.5 times more lotion than Bottle X