A pie company randomly surveys 60 customers to determine which type of pie they would purchase. The results of the survey are shown.

Favorite Type of Pie

Peach

25%

Apple

331%

Other

20%

Cherry

The company expects to sell 65 cherry pies in March.

Based on the survey results, how many whole peach pies should the company expect to sell in March?

Explained below.

Step-by-step explanation:

Construct the frequency distribution from the percentage distribution as follows:

Favorite Type of Pie         Percentage           Frequency

         Peach                            25%               25% of 60 = 15

         Apple                             31%                31% of 60 = 18.6

         Other                             20%               20% of 60 = 12

        Cherry                            24%                24% of 60 = 14.4

        TOTAL                           100%                       60

It is provided that the company expects to sell 65 cherry pies in March.

The total number of people buying pies is:

Now compute the number of peach pies should the company expect to sell in March as follows:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

step-by-step explanation:

infinity is the answer