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 cost $75 per tree the other cost $90 per tree the budget must not exceed 70,000 people want more of the $90 trees

Question

Mathematics

Kallie Roman

19 January, 13:38

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 cost $75 per tree the other cost $90 per tree the budget must not exceed 70,000 people want more of the $90 trees

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Answers (1)

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Jonah Bean · Answer 1

75a + 90b ≤ 70000

a ≤ b

Step-by-step explanation:

Maple grove wants to include 2 types of maple trees. The 2 trees that are to be added cost $75 and $90 each. The total amount should not exceed $70000. And the people wants more of the $90 tree.

Let

the number of the $75 tree = a

number of the $90 tree = b

The total cost of the $75 variety of maple tree = 75a

The total cost of the $90 variety of maple tree = 90b

And the cost of the trees shouldn't exceed $70000. Therefore,

75a + 90b ≤ 70000

Note the people needs more of the $90 tree, this means a ≤ b.