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Connor's family took a road trip to Niagara Falls. Connor slept through the last 15% of the trip. If Connor fell asleep after they had travel 663 miles what was the total length of the trip.

Sagot :

MrRoyalidn

Answer:

The length of the trip is 780 miles

Step-by-step explanation:

Given

[tex]Sleep = 15\%[/tex]

[tex]Distance\ Travelled = 663[/tex]

Required

Determine the length of the trip

If Connor slept for 15% of the trip, then Connor was awake for 85%

This is calculated as:

[tex]Sleep + Awake = 100\%[/tex]

[tex]15\% + Awake = 100\%[/tex]

[tex]Awake = 100\% - 15\%[/tex]

[tex]Awake = 85\%[/tex]

Represent the required distance with D.

So the expression for when she was awake is:

[tex]85\% * D = 663[/tex]

Make D the subject

[tex]D = \frac{663}{85\%}[/tex]

Convert % to decimal

[tex]D = \frac{663}{0.85}[/tex]

[tex]D = 780[/tex]

Hence, the length of the trip is 780 miles

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