Question

50!!! Points Paul needs 27 plants to fill his garden and has $99 to

spend. Lilies cost $5 each and tulips cost $2 each. Which
system represents the number of lilies (1) and tulips (t)
Paul can buy?

Answer 1

`\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct .}}}`

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 .

`\implies \bf n( Tulips) + n(Lilies ) = 27 \\\\\bf\implies \boxed{ \bf l + t = 27 }`

Now , cost of each lily is $5 and tulip is $2 . And he has $99 in total . So ,

`\bf\implies n_(tulips) * cost_(tulip) + n_(lilies) * cost_(lilies) = Money \ that \ Paul \ has. \\\\\bf \implies t* \$2 + l * \$5 = \$ 99 \\\\\implies \boxed{\bf 2t + 5l =\$ 99 }`

Hence we can see that our ans matches with option (a) which is ,

`\red{\bf Option \ A}\begin{cases} \bf l + t = 27 \\\\\bf 2t + 5l = 99 \end{cases}`

Hence option (A) is correct .