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jeka57 [31]
3 years ago
14

Jeff is responsible for buying supplies of food and medication for the dogs and cats at a local shelter. The food and medication

for a dog cost twice as much as for a cat. He needs to provide supplies for 164 cats and 24 dogs, and his budget is $4,240. How much can he spend on each dog for food and medication?
Mathematics
1 answer:
Maru [420]3 years ago
5 0
164x + 24(2x) < = 4240
164x + 48x < = 4240
212x < = 4240
x < = 4240/212
x < = 20

for a dog.....2x = 2 * 20 = 40.....so it costs 40 per dog and 20 per cat
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Since you have y alone on one side of the equation......

Use substitution and plug in 1/2x-4 for y in the other equation.


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Combine like terms

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Add 8 to both sides

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Divide by 4

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Plug this value in for x

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Simplify

31/8-4=y

Multiply everything by 8 and simplify

31-32=8y\\-1=8y

Divide.....

y=-1/8


Your answers are:

y=-1/8\\x=31/4



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Is 21/48 greater or less than 1/2
Svetlanka [38]
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No.

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