system equations

Question

a landscaping company placed an order for 10 bushes and 5 tress for the amount of 383.85 what is the cost of a bush and the cost of a tree

Answer 1

For solve a system of equations, there usually needs to be at least one more equation than there are unknowns. As stated, we only have 1:

if b is the cost of a bush and t is the cost of a tree, 10b + 5t = 383.85

With only this much information, there are a number of possible solutions. For example, if bushes are free (b=0), then trees cost 383.85/5 or 76.77. Similarly, if trees were free, bushes would cost 383.85/10 or 38.385. There are other multiple possible combinations with nonzero values of b and t.