Question

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?

Answer 1

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