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garri49 [273]
3 years ago
9

it costs $350 to carpet an 8ft-by-10ft room. At tis rate, how many dollars would it cost to put the same carpeting in a 24-ft-by

-30-ft room?
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
4 0
$1050 bc the 24 by 30 ft room is theee times as the first, so $350 times 3 is $1050.
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Answer:

We can set up a system of equations.

x + y = 111

0.25x + 0.10y = 18.30

x + y = 111

Subtract 'y' to both sides:

x = -y + 111

Plug in '-y + 111' for 'x' in the 2nd equation:

0.25(-y + 111) + 0.10y = 18.30

Distribute 0.25 into the parenthesis:

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Combine like terms:

-0.15y + 27.75 = 18.30

Subtract 27.75 to both sides:

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Divide -0.15 to both sides:

y = 63

Plug this back into any of the two equations to find the 'x' value.

x + y = 111

x + 63 = 111

Subtract 63 to both sides:

x = 48

So there are 48 quarters and 63 dimes.

Step-by-step explanation:

Hope This Helps!

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