You spend $262.00 on the front yard and $220.00 on the back yard. What is the cost of each type of flower bulb?

Question

You decide to buy 30 tulip bulbs and 32 daffodil bulbs for your front yard, and 16 tulip bulbs and 40 daffodil bulbs for your back yard. What would be the cost for each type? This is for my algebra homework. Can someone please help answer this question.

Answer 1

Hi Elisa, let t represent the tulips and d represent the daffodils. Set up a system of equations and solve.

Equation 1, front yard:

30t + 32d = 262

Equation 2, back yard:

16t + 40d = 220

System to solve:

30t + 32d = 262

16t + 40d = 220

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Multiply equation 1 by -16 and equation 2 by 30 to eliminate the t terms:

-480t - 512d = -4192

480t + 1200d = 6600

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688d = 2408

d = 3.5

The daffodils cost $3.50 each.

Substitute for daffodils in equation 1:

30t + 32 * 3.50 = 262

30t + 112 = 262

30t = 150

t = 5

The tulips cost #3.00 each.

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