The Clark family is taking a trip from Boston to Cleveland to watch Pedro pitch against the Indians. The distance between Boston MA and Cleveland, Ohio is 552 miles. To minimize the sibling rivalries along the way, they are going to extend the trip over two days. The first part of the journey will be exactly 100 miles longer than the second part. How far will the Clark family travel on each day?

They will travel 326 miles on the first day and 226 on the second day

Step-by-step explanation:

We can set up an equation to help us solve it.

Let x be the number of miles they travel on the first part of the journey

We can also write the second part in terms of x. Since it is 100 miles shorter than the first, it can be written as x-100

x+x-100=552

Add 100 to both sides

x+x=652

2x=652

x=326

They will travel 326 miles on the first day and 226 on the second day

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