Chris has a job selling newspapers every morning. He receives a base pay of $10 per day and also gets 15 cents for every paper he sells. One morning he made $16.45. How many papers did he sell?

1 Answer
smendyka
Jun 2, 2017

See a solution process below:

Explanation:

A formula for Chris' earnings is:

#e = b + (n * r)#

Where:

#e# is Chris' daily earnings - $16.45 for this problem

#b# is Chris' base pay - $10.00 for this problem

#n# is the number of newspapers sold - what we are solving for

#r# is the rate per newspaper - $0.15 for this problem

Substituting and solving for #n# gives:

#$16.45 = $10.00 + (n * $0.15)#

#$16.45 - color(red)($10.00) = $10.00 - color(red)($10.00) + (n * $0.15)#

#$6.45 = 0 + (n * $0.15)#

#$6.45 = n * $0.15#

#($6.45)/color(red)($0.15) = (n * $0.15)/color(red)($0.15)#

#(color(red)(cancel(color(black)($)))6.45)/color(red)(color(black)(cancel(color(black)($)))0.15) = (n * color(red)(cancel(color(black)($0.15))))/cancel(color(red)($0.15))#

#43 = n#

Chris sold 43 newspapers.

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