Don L. answered • 11/27/18

Fifteen years teaching and tutoring basic math skills and algebra

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.

Questions?