Two florist purchased flower bouquets and vases at the same store. The first florist bought 2 flower bouquets and 2 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.

Question

Mathematics

Osvaldo Haley

7 December, 21:37

Two florist purchased flower bouquets and vases at the same store. The first florist bought 2 flower bouquets and 2 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.

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Answers (1)

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Marlene Kemp · Answer 1

Let B represent the cost of one flower bouquet, and v, the cost of one vase.

The first florist's total cost is $12.50. It consists of 2 flower bouquets and 2 vases. So, we need to divide the total amount by 4 items. This gives us an amount of $3.125, both representing b and v.

As for the second florist, the total cost is $29.00 and it consists of 8 flower bouquets and 2 vases. We need to divide this amount by 10 items. This results in $2.6, represents the cost of one flower bouquet and one vase.