Problema Solution

Mary's garden contains 108 flowers that are lilies, daisies and sunflowers. There are half as many lilies and there are daisies. There are one third as many daisies as there are sunflowers. How many daisies are in the garden?

Answer provided by our tutors

let


l = the number of lilies

d = the number of daisies

s = the number of sunflowers


Mary's garden contains 108 flowers


l + d + s = 108


there are half as many lilies and there are daisies


l = d/2


there are one third as many daisies as there are sunflowers


d = (1/3)s


by solving the system of equations


l + d + s = 108

l = d/2

d = (1/3)s


we find


l = 12 lilies


d = 24 daises


s = 72 sunflowers


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