Answer:
[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct .}}}[/tex]
Step-by-step explanation:
Given that , Paul needs 27 plants to fill his garden and has $99 to spend. Lilies cost $5 each and tulips cost $2 each.
- Tulips are represented by t .
- Lilies are represented by l .
Now we need to find which set of linear equations represent the above situation. So ,
Sum of number of lilies and tulips is 27 .
[tex]\implies \bf n( Tulips) + n(Lilies ) = 27 \\\\\bf\implies \boxed{ \bf l + t = 27 }[/tex]
Now , cost of each lily is $5 and tulip is $2 . And he has $99 in total . So ,
[tex]\bf\implies n_{tulips} \times cost_{tulip} + n_{lilies} \times cost_{lilies} = Money \ that \ Paul \ has. \\\\\bf \implies t\times \$2 + l \times \$5 = \$ 99 \\\\\implies \boxed{\bf 2t + 5l =\$ 99 }[/tex]
Hence we can see that our ans matches with option (a) which is ,
[tex]\red{\bf Option \ A}\begin{cases} \bf l + t = 27 \\\\\bf 2t + 5l = 99 \end{cases}[/tex]
Hence option (A) is correct .
