Tim,Griff and Kay baked chocolate for Kay s birthday party.Tim baked 3 times as many as Kay.Griff baked half as many as Tim.Altogether they baked 88 chocolate.How many did Tim make
------------------------------------------------------------------------------ Define the number of cakes they baked in term of x ------------------------------------------------------------------------------ Let the number of cakes Kay baked be x
Kay = x Tim = 3x ← Tim baked 3 times as many as Kay Griff = 1.5x ← Griff baked 1/2 as many as Tim
------------------------------------------------------------------------------ Construct the equation and solve for x ------------------------------------------------------------------------------ The total number of cakes baked was 88.
x + 3x + 1.5x = 88 ← Combine like terms 5.5 x = 88 ← Divide by 5.5 ÷5.5 ÷5.5 x = 16
------------------------------------------------------------------------------ Find the number of cakes each baked ------------------------------------------------------------------------------ Kay = x = 16 TIm = 3x = 16 x 3 = 48 Griff = 1.5x = 1.5(16) = 24
------------------------------------------------------------------------------ Answer: Tim baked 48 cakes. ------------------------------------------------------------------------------