Florist's Purchases Puzzle

Braden and Jason's Flower Purchases

Braden and Jason, who are florists, purchased flower bouquets and vases at the same store. Braden bought 3 flower bouquets and 5 vases for a total of $25.75. Jason bought 8 flower bouquets and 2 vases for a total of $29.00.

Price of a Flower Bouquet

The price of a flower bouquet is $2.75 each based on the information shown in the question above. This problem can be solved using the algebra substitution system between two equations with two different variables (3x+5y=25.75 and 8x+2y=29). First, you have to simplify the second equation to become y=14.5-4x then you can substitute the second equation into the first equation (3x+5(14.5-4x)=25.75).

Question:

What's the price of a flower bouquet?

Answer:

The price of a flower bouquet is $2.75 each based on the given information.