Math word problem! Need help~
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Math word problem! Need help~

[From: ] [author: ] [Date: 11-10-06] [Hit: ]
The answer is: She must make 18 dolls to earn at least $100 in one day.0.n = 2.she must make 18 dolls and will earn $102-x=no.......
Kris works at a doll factory. She earns $75/day, and if she makes more than 15 dolls in one day, she receives a bonus. For each doll made after the 15th doll, she will receive an extra 12% of her daily pay. If she wishes to earn at least $100 today, how many dolls must she make?

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If she is seeking to earn $100 dollars in 1 day she must make 3 dolls beyond 15 to make a total of 18.

I came to this by figuring she must come to work to earn her $75 (obviously). Then when she gets to 15 dolls she can start adding $9 (12% of 75) for every doll she makes after the 15th. Then add 9 to 75 until you exceed 100. You will find that it is 3 times; and thus 3 MORE dolls than 15. 75 + 9 + 9 + 9 = 102

The answer is: "She must make 18 dolls to earn at least $100 in one day."

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for each extra doll past 15 she get 12% of $75
0.12*75 = $9

let n = number of dolls over 15

100 = 75 + n * 9

Solve for n
subtract 75 form each side
25 = 9n

n = 25/9

n = 2.78

since she can't make a partial dolls
n=3

she must make 18 dolls and will earn $102

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x=no. of dolls
she makes $9 for each doll over 15
100-75= 25/9= 3

She needs to make 18 dolls to make $100
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