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Question

# Anna takes 600 equal steps, each measuring 112 ft, to reach home from her school. If shewants to reach home in 660 equal steps, how big should each new step be?

A
2811 ft
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B
2411 ft
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C
1411 ft
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D
1811 ft
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Solution

## The correct option is C 1411 ftLength of each normal step=112 ft Total number of normal steps needed to reach home=600 ⟹Distance from school to home =(600×112) ft =[600×(2×1)+12] ft =[600×32] ft =[600×31×2] ft =18002 ft =900 ft Now, Anna wants to reach her home in 660 steps: ∴She has to cover 900 ft in 660 steps ⟹Length of each new step×660 =900 ft The corresponding division equation is: Length of each new step=900 ft÷660 Solving this equation, we find: 900 ft÷660 =900660 =900÷60660÷60 =1511 =1411 ft ∴Each of Anna's new step should be 1411 ft long for her to reach home in exactly 660 steps.

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