Judith is planning a birthday party at her house. she has 36 slices of pizza and 24 Capri Suns. What is the maximum number of people she can have at the party so that each person gets the same number of slices of pizza and the same number of Capri Suns? show all work

She can either have 24 people since there are more slices of pizza there will be extras

898.1666667

step-by-step explanation:

5389/6 = 898.1666667

< 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)