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Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
Francesca wants to make scrapbooks with old family photos. An online scrapbooking company charges $31 for a basic book and $1 per page. Meanwhile, a family friend is willing to make a scrapbook for $23 plus $3 per page. For a certain number of pages, the price would be equal. How much would that cost? How many pages would that be?
The scrapbook would cost $(__)if it had (__)pages
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Answer:
The scrapbook would cost $35 if it had 4 pages.
Step-by-step explanation:
Assume number of pages is x.
Then the equation will be,
1×31 + 1x = 1×23 +3x
31 +1x = 23 + 3x
2x= 8
x = 4
Therefore, both the scrapbooks having 4 pages would cost $35.
online company would charge $31 for 1 book, $1 for 1 page, Total = 31×1 + 1×4 = $35.
Family Friend would charge $23 for 1 book and $3 for 1 page. Total = 23×1 + 3×4 = $35.
Hope it helps.
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