Bunuel wrote:
In a new housing development, trees are to be planted along the sidewalk of a certain street. Each tree takes up one square foot of sidewalk space, and there are to be 14 feet between each tree. How many trees can be planted if the road is 166 feet long?
(A) 8
(B) 9
(C) 10
(D) 11
(E) 12
Kudos for a correct solution.
Step 1: Analyze the QuestionThough this is not a Geometry question, a quick sketch of the situation will help illustrate how to solve it.
So we know that the unit of one tree and one space is 1 * 1 + 14 feet = 15 feet.
Step 2: State the TaskTo find how many trees can be planted, determine the feet required for a tree and the space between trees. Divide the total length of the street by the unit of one tree and the space between trees.
Step 3: Approach StrategicallyEach tree takes up 1 foot, and each space takes up 14 feet. Together they take up 15 feet. Now find how many times 15 goes into the total number of feet on one side of the street:
166/15= 11, with a remainder of 1 foot.
We can plant one last tree in the remaining foot, bringing the total number of trees to 12. This means along the street, we can plant 12 trees with 11 spaces between them, as long as we start and end with a tree. (E) is correct.
Step 4: Confirm Your AnswerMake sure your answer makes sense in the context of the question. Did you take into account the remainder of the division? Will an entire tree fit in the remaining space? You can use these questions to confirm your work.
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