Answer:
Step-by-step explanation:
x = roses, y = tulips, z = lillies
6x + 4y + 3z = 610
(x + y + z) / 5 = 24 ...... x + y + z = 24 * 5....x + y + z = 120
x = 2(y + z)...x = 2y + 2z
6(2y+ 2z) + 4y + 3z = 610
12y + 12z + 4y + 3z = 610
16y + 15z = 610
2y + 2z + y + z = 120
3y + 3z = 120
16y + 15z = 610
3y + 3z = 120.....multiply by -5
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16y + 15z = 610
-15y - 15z = - 600(result of multiplying by 5)
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y = 10
3y + 3z = 120
3(10) + 3z = 120
30 + 3z = 120
3z = 120 - 30
3z = 90
z = 90/3
z = 30
x = 2(y + z)
x = 2(10 + 30)
x = 2(40)
x = 80
so in total, there are 80 roses....split 5 ways...80/5 = 16 roses in each one
in total, there are 10 tulips...split 5 ways...10/5 = 2 tulips in each one
in total, there are 30 lillies...split 5 ways = 30/5 = 6 lillies in each one
