Two florists purchased flower bouquets and vases at the same store. The first florist bought 3 flower bouquets and 5 vases for a total of $25.75. The second florist bought 8 flower bouquets and 2 vases for a total of $29.00.

What is the price of a flower bouquet?

B=cost per boquet

v=cost per vase

3b+5v=25.75

8b+2v=29.00

use eliminateion

divide 2nd equation by 2

4b+v=14.50

multiply it by - 5 and add to other equation to eliminate v

-20b-5v=-72.5

3b+5v=25.75 +

-17b+0v=-46.75

-17b=-46.75

divide both sides by - 17

b=2.75

a boquet costs $2.75