Acarpenter purchased 50 ft of redwood and 90 ft of pine for a total cost of $274. a second purchase at the same prices include 80 ft of redwood and 50 ft of pine for a total cost of 335. find the cost per foot of redwood and of pine

Redwood: $3.50 per foot

Pine: $1.10 per foot

Step-by-step explanation:

The manner that should be approach is by using the substitution method.

Therefore using the information from the question:

50 ft of redwood and 90 ft of pine give a total cost of $274

So we use this information and make a equation using x and y, in this case redwood would be x and pine would be y.

We do this for the second purchase also...

Now, we have two equations that are perfect for the usage of the substitution method.

Using one equation, in this case the top one, we must solve for either x or y (in this case we solved for y)

Using this equation from above we insert this into the other equation that deals with the second purchase and solve for x now.

This is the cost of redwood so now we use this answer and plug it in either equation in order to get the cost of pine (y).

So therefore you get the two costs by using the substitution method!

~~~~Best!!!

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are