document.write( "Question 1032212: Bethany’s credit card bill in December was 1.5 times her food bill. Her apartment rent was 5 times her utility bill. Her phone bill was $17 less than half of her food bill. Her phone bill was also $18 less than twice her utilities bill. The total of the five bills was $751. What was the amount of each bill? \n" ); document.write( "

Algebra.Com's Answer #647096 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "Bethany’s credit card bill in December was 1.5 times her food bill. Her apartment rent was 5 times her utility bill. Her phone bill was $17 less than half of her food bill. Her phone bill was also $18 less than twice her utilities bill. The total of the five bills was $751. What was the amount of each bill?
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Let the amount for food, and utilities be F, and U, respectively
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document.write( "Then amount for credit card = 1.5F
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document.write( "Amount for rent = 5U
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document.write( "Amount for phone = 
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document.write( "Also, amount for phone = 2U - 18
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document.write( "We can then say that: 
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document.write( "F - 34 = 4U - 36 -------- Multiplying by LCD, 2
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document.write( "F = 4U - 36 + 34
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document.write( "F = 4U - 2
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document.write( "Since all sum to $751, we then get: U + 1.5(4U - 2) + 5U + 2U - 18 + 4U - 2 = 751
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document.write( "U + 6U - 3 + 5U + 2U - 18 + 4U - 2 = 751
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document.write( "18U - 23 = 751
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document.write( "18U = 751 + 23
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document.write( "18U = 774
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document.write( "U, or amount for utilities = , or 
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document.write( "Amount for food: 4(43) - 2 = 172 - 2, or 
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document.write( "Amount for credit card: 1.5(170) = 
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document.write( "Amount for phone: 2(43) - 18 = 86 - 18 = 
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document.write( "Amount for rent: 5(43) =  \n" );
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