Answer:
• The cost of one hosta is $12; and
,• The cost of one shrub is $3.
Explanation:
Let the cost of one hosta=h
Let the cost of one shrub = s
Mark spent $60 on 4 hostas and 4 shrubs.
[tex]\implies4h+4s=60[/tex]Bill spent $150 on 12 hostas and 2 shrubs.
[tex]\implies12h+2s=150[/tex]Solve the two equations simultaneously.
[tex]\begin{gathered} 4h+4s=60\ldots(1) \\ 12h+2s=150\ldots(2) \end{gathered}[/tex]Multiply equation (1) by 3.
[tex]\begin{gathered} 12h+12s=180\ldots(1b) \\ 12h+2s=150\ldots(2) \\ \text{Subtract} \\ 10s=30 \\ s=\frac{30}{10} \\ s=\$3 \end{gathered}[/tex]Next, we solve for h.
[tex]\begin{gathered} 12h+2s=150 \\ 12h+2(3)=150 \\ 12h+6=150 \\ 12h=150-6 \\ 12h=144 \\ h=\frac{144}{12} \\ h=\$12 \end{gathered}[/tex]The cost of one hosta is $12 and the cost of one shrub is $3.
