Question

2) two florist purchased flower bouquets and vases at the same store. The first florist bought 2 flower bouquets and two vases for a total of $12.50. The second florist bought 8 flower bouquets and 2 vases for a total of 29.00

Let b represent the cost of one flower bouquet and v represent the cost of one vase. Write and solve a system of equations to find the price of each type of arrangement. SHOW ALL WORK!

Answer 1

Let
b---------> the cost of one flower bouquet
v--------> the cost of one vase.

we know that
2b+2v=12.50-----> Multiplied by -1------------->-2b-2v=-12.50
8b+2v=29---------------------------------------------> 8b+2v=29
I add the two equations ------------------------
6b=16.50
b=2.75
2*2.75+2*v=12.50---------------> v=(12.50-5.5)/2---------> v=3.5

the answer is
the cost of one flower bouquet is $2.75
the cost of one vase is $3.5