Problem 221

Problem 221

The two cereal boxes shown have corresponding edges in a ratio of 2:3.  If the smaller box sells for $2.50 and the larger box for $4.00, which is the better buy? Why?

What assumption(s) do you have to make when solving

the problem? Estimate, then check.

 

Solution

 

Let V1 = volume of the smaller box and  V2  =  volume of other box

V2 = V1(\frac{3}{2}) 3 = \frac{27}{8}  V1

\frac{V2}{V1} = \frac{27}{8}  = 3.375

 

\frac{Price of the greater box}{Price of the smaller box}  =\frac{4}{2.5}   = 1.6

 

So greater box is better buy because:  we are getting more volume in less price in case of greater box.

Assumption: – Volume of Cereal in each box= volume of the box

 

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