a florist is making 5 identical bridesmaid bouquets for wedding. she has $510 to spend and wants 20 flowers for each bouquet. roses cost $4 each,tulips cost$2 each and lilies cost $3 each. she wants to have twice as many roses as the other 2 flowers combined in each bouquet. find total number of flowers are there
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1 answer

For each bouquet:
Number of lilies  x
number of tulips  y
number of roses  2x + 2y , where both x and y are whole numbers
then x+y + 2x+2y = 20
3x + 3y = 20
x + y = 20/3 < trouble ahead: how can the sum of 2 whole numbers be a fraction?
cost per bouquet = 510/5 = 102
so 3x + 2y + 4(2x+2y) = 102
11x + 10y = 102
first one times 10
10x + 10y = 200/3
11x + 10y = 102
subtract:
x = 106/3
y = 86/3 < good one!
2x + 2y = 172/3
check: 3x + 3y = 3(106/3 + (86/3) = 20
total cost: 5(3x + 2y + 4(2x+2y))
= 55x + 50y
= 55(106/3) + 50(86/3) = 510
So my "solution" to your problem makes mathematical sense,
but not in the real world.
I could have stopped at x + y = 20/3
but I continued to show you the steps you can follow after you fix the problem. 👍
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👤Reiny
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