SOLUTION: Mrs Brown is ordering a photo. The 5" by 7" prints cost $8 each and the 8" by 10" photos cost $22 each for a total of $168. If she bought 14 photos, how many of each type did she g

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Question 989665: Mrs Brown is ordering a photo. The 5" by 7" prints cost $8 each and the 8" by 10" photos cost $22 each for a total of $168. If she bought 14 photos, how many of each type did she get?
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
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S=number of smaller photos; L=number of larger photos
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S+L=14
S=14-L Use this to substitute for S.
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$8S+$22L=$168 Substitute for S from above.
$8(14-L)+$22L=$168
$112-$8L+$22L=$168
$14L=$56
L=4 ANSWER: She got 4 large photos.
S=14-L=14-4=10 ANSWER 2: She got 10 small photos.
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CHECK:
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$8S+$22L=$168
$8(10)+$22(4)=$168
$80+$88=$168
$168=$168
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