Jackie 2

Jackie bought an equal number of tulip bulbs and daffodil bulbs. Along the length of her garden, Jackie planted 6 daffodil bulbs and 3 tulip bulbs per foot. She has 5 daffodil bulbs and 29 tulip bulbs remaining to plant elsewhere. How long is Jackie's garden? How many tulip and daffodil bulbs did Jackie buy?

Correct answer:

t =  53
d =  53

Step-by-step explanation:

$$\begin{gathered} t=d \\ 5=t-6a \\ 29=t-3a \\ 5=t-6\cdot a \\ 29=t-3\cdot a \\ 6a-t=-5 \\ 3a-t=-29 \\ Row2-\frac{3}{6}\cdot Row1\to Row2 \\ 6a-t=-5 \\ -0.5t=-26.5 \\ t=\frac{-26.5}{-0.5}=53 \\ a=\frac{-5+t}{6}=\frac{-5+53}{6}=8 \\ a=8 \\ t=53 \\ a=8\text{ft} \end{gathered}$$

$$\begin{gathered} d=t=53 \\ \text{ Verifying Solution: } \\ T=t-6\cdot a=53-6\cdot 8=5 \\ R=d-3\cdot a=53-3\cdot 8=29 \end{gathered}$$

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