SOLUTION: A Russian Blue kitten costs $150 more than a Manx kitten. 9 Russian Blue kittens and 8 Manx kittens cost $14 100 in total. Find the cost of: a Russian Blue kitten a Manx kitten

Algebra ->  Finance -> SOLUTION: A Russian Blue kitten costs $150 more than a Manx kitten. 9 Russian Blue kittens and 8 Manx kittens cost $14 100 in total. Find the cost of: a Russian Blue kitten a Manx kitten       Log On


   

Question 1011460: A Russian Blue kitten costs $150 more than a Manx kitten. 9 Russian Blue kittens and 8 Manx kittens cost $14 100 in total. Find the cost of:
a Russian Blue kitten
a Manx kitten
Found 2 solutions by macston, stanbon:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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M=cost of Manx; R=cost of Russian Blue=M+$150
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9R+8M=$14100
9(M+$150)+8M=$14100
9M+$1350+8M=$14100
17M=$12750
M=$750
ANSWER 1: A Manx kitten costs $750.
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R=M+$150=$750+$150=$900
ANSWER 2: A Russian Blue kitten costs $900.
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CHECK:
9R+8M=$14100
9($900)+8($750)=$14100
$8100+$$6000=$14100
$14100=$14100
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A Russian Blue kitten costs $150 more than a Manx kitten. 9 Russian Blue kittens and 8 Manx kittens cost $14 100 in total.
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RB = MX + 150
9RB + 8MX = 14100
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Substitute for "RB" and solve for MX::
9(MX + 150) + 8MX = 14100
17MX = 14100-9*150
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MX = $750
RB = 750+150 = $900.00
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Cheers,
Stan H.
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Find the cost of:
a Russian Blue kitten
a Manx kitten