We are given: The cost of one flower bouquet =$ b.
The cost of one vase = $ v.
First florist bought: 2 flower bouquets and 2 vases.
2 * cost of one flower bouquet + 2*cost of one vase = Total cost.
2b +2v = 12.50 ------------------------equation (1).
Second florist bought: 8 flower bouquets and 2 vases.
8 * cost of one flower bouquet + 2*cost of one vase = Total cost.
8b +2v = 29.00 ------------------------equation (2).
Therefore, system of equations we got is 2b +2v = 12.50 and 8b +2v = 29.00.
Subtracting first equation from second equation.
8b +2v = 29.00
-(2b +2v = 12.50)
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6b = 16.50.
Dividing both sides by 6, we get.
b= 2.75.
Plugging b=2.75 in first equation we get
2(2.75) +2v = 12.50
5.50 +2v = 12.50
Subtracting 5.50 from both sides, we get
5.50-5.50 +2v = 12.50-5.50
2v = 7
Dividing both sides by 2, we get
v =3.50.
Therefore, cost of one flower bouquet is $2.75 and cost of one vase is $3.50.
