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(a)  100 g –> 26.6

       1800g –> 26.6/100  x 1800 = 478.8 

Hence 1.8kg beef has 0.4788 kg protein

(b)                     Beef                                 Mushroom

       1 pie            600                                      230

       2 pies          600x 2 = 1200             230 x 2 = 460

460 / 1200 x 100 =   38⅓ %

 % of mass of mushrooms/ beef  is   38⅓ %

(c)  May price —-> $2.88

        93.95%  —>  $2.88

        100%     —-> $3.07   = price in April

        102.43% —> $3.07

         100%   —–> $3.00   = price in March

Hence the price of beef in March was $3.00 (3 s.f)

(d)  M = kr3       where k is a constant

         When radius doubled,

           New  M = k (2r)3  = 8 kr3

           % Change in mass =  [(8 kr –  kr3 ) / kr ]  x 100%   = (7kr / kr )  x 100% = 700%

    (i)     So the mass has increased by 8 times or 700%  when the radius is doubled.

    (ii)    Let the increase be u times.

              New M = u kr3

            % Change in mass = [(u kr3  –  kr3 ) / kr3 ] x 100%     =  200%

                                                            u – 1    =    2

                                                                 u     =  2+ 1 = 3

                So  New M  = 3 kr3  = k (∛3 r )3

                Original radius = r,    new radius =  ∛3 r

                % increase in r =   [(∛3 r – r) / r ] x 100%  =  44.2%  ( 3 s.f.)

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