Web Analytics

Maple grove wants to include two types of maple trees, the namesake of the city, for their parks. Two varieties of maple trees have been selected. One variety costs $75 per tree; the other more colorful variety costs $90 per tree. The tree budget must not exceed $70,000. Citizens want more of the colorful $90 trees than the others if possible.

Verified Answer :

75x+90y<=70,000 x<=y

Answer:

\(75x+90y\leq 70000\)

\(y\geq x\) or \(x\leq y\)

Step-by-step explanation:

Given information is :

Two varieties of maple trees have been selected.

Let the first variety of trees be = x

Let the second colorful variety of trees be = y

One variety costs $75 per tree; @@MATH_TOKEN_3@@

The other more colorful variety costs $90 per tree; \(90y\)

Given is - The tree budget must not exceed $70,000. This means the total cost of the trees should be less than or equal to 70000.

Thus, the equation forms:

@@MATH_TOKEN_5@@

Also given is - Citizens want more of the colorful $90 trees than the others if possible.

The equation will be :

\(y\geq x\) or \(x\leq y\)