Question

Brianna wants to buy some trees for her yard. A local store charges $25 to plant each tree plus a delivery fee of $50. A lawn service charges $35 to plant each tree with free delivery. Determine the solution to the system of equation algebraically. Show your work, and explain what the solutions means in this context.

Answer 1

Answer:

175

Step-by-step explanation:

The local store charges 25t+50 and the lawn service charges 35t where t represents the count of trees.

The solution is found when 25t+50 is equal to 35t:

$25t+50=35t$

Subtract 25t from both sides: $50=10t$

Divide both sides by 10: $5=t$

Therefore, t is 5. We just need to find 25t+50 or 35t, which we just determined is equal when t is 5.

35*5=175, meaning the solution is 175. The context is that when you buy 5 trees, both options are equally priced.