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

02-06-2017
Mathematics

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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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Hagrid Hagrid · Answer 1 · 2017-06-16T16:11:47+02:00

Let;
b - cost of one flower bouquet
v - cost of one vase

For the first florist, the total cost is $12.50. and it consists 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 to $2.6, represents the cost of one flower bouquet and one vase.