Problema Solution
A gardener grows roses, tulips, and sunflowers in an 18 acre garden. She wants to plant twice as many acres of sunflowers as acres of tulips. She also wants to plant 6 more acres of roses than of sunflowers. How many acres of each flower should she plant??
Answer provided by our tutors
let
r = the acres of roses to plant
t = the acres of tulips to plant
s = the acres of sunflowers to plant
A gardener grows roses, tulips, and sunflowers in an 18 acre garden
r + t + s = 18
She wants to plant twice as many acres of sunflowers as acres of tulips
s = 2t
She also wants to plant 6 more acres of roses than of sunflowers
r = s + 6
by solving the system of equations
r + t + s = 18
s = 2t
r = s + 6
we find
r = 10.8 acres
s = 4.8 acres
t = 2.4 acres
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she should plant 10.8 acres of roses, 4.8 acres of sunflowers and 2.4 acres of tulips.