Help with this please?

Question

The ratio of the corresponding linear measures of two similar cans of vegetables is 2 to 3. The smaller can has a surface area of 180 square centimeters. Find the surface area of the larger can.

Answer 1

Hi Mic,

Step One: Since we know that the ratio of the two cans is 2 to 3, we can rewrite this as 2:3 or 2/3.

Step Two: We also know that the smaller can has a surface area of 180. Let x represent the larger can's surface area:

2/3 = 180/x :

Step Three: Solve for x.

2/3 = 180/x

2x=(180)3 Cross multiply

2x=540 Simplify

x=270 Divide both sides of the equation by 2

∴The surface area of the larger can is 270 square centimeters.

If you seek lessons, please feel free to message me.

Sincerely,

Starlyte

Answer 2

2:3=

180:270