Which problem solving strategy would be best to solve this problem?Your friend’s house is 12 miles from your home. Your school isone-third the way from your friend’s house and your home. Thepark is one-fourth the way from the school to your friend’s house.How far is the park from your home? A. guess, check and revise B. write an equation C. make a table, chart or list D. make a model or diagram
Question
Which problem solving strategy would be best to solve this problem?Your friend’s house is 12 miles from your home. Your school isone-third the way from your friend’s house and your home. Thepark is one-fourth the way from the school to your friend’s house.How far is the park from your home? A. guess, check and revise B. write an equation C. make a table, chart or list D. make a model or diagram
Solution
The best problem-solving strategy for this problem would be to "write an equation". This is because the problem involves distances and fractions of distances, which can be easily represented and solved using an equation.
Here's how you can solve it:
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Let's denote the distance from your home to your friend's house as H. According to the problem, H = 12 miles.
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The school is one-third of the way from your friend's house to your home. So, the distance from your home to the school (S) would be 1/3 * H = 1/3 * 12 = 4 miles.
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The park is one-fourth of the way from the school to your friend's house. So, the distance from the school to the park (P) would be 1/4 * (H - S) = 1/4 * (12 - 4) = 2 miles.
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Therefore, the distance from your home to the park would be the sum of the distance from your home to the school and the distance from the school to the park, which is S + P = 4 + 2 = 6 miles.
So, the park is 6 miles away from your home.
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