Claire traveled 701 miles. She drove 80 miles every day. On the last day of her trip she only drove 61 miles. Write and solve an equation to find the number of days Claire traveled. Explain each step of your problem solving strategy.

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jitumahi76 jitumahi76 · Answer 1 · 2020-02-13T08:37:37+01:00

Answer:

Claire traveled for 9 days.

Step-by-step explanation:

Given:

Total Distance traveled = 701 miles

Distance traveled each day = 80 miles

Distance traveled on last day = 61 miles

We need to find the number of days Claire traveled.

Solution:

Let the number of days Claire traveled be denoted by 'd'.

Now we can say that;

Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.

framing in equation form we get;

[tex]80d+61=701[/tex]

Now Subtracting both side by 61 using Subtraction Property of Equality we get;

[tex]80d+61-61=701-61\\\\80d = 640[/tex]

Now Dividing both side by 80 we get;

[tex]\frac{80d}{80}=\frac{640}{80}\\\\d=8[/tex]

Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total 9 days of travel.