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Nutka1998 [239]
3 years ago
15

Four gallons of paint are used to paint 20 chairs and 5 small tables.if each chair and table used the same amount of paint, how

many gallons are used to paint each piece of furniture? Between what two who numbers does the answer lie?
Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0

Answer:

0.16 gallons of paint are used on each piece of furniture.

The answer lies between the whole numbers 0 and 1.

Step-by-step explanation:

we know that

Four gallons of paint are used to paint 20 chairs and 5 small tables.

if each chair and table used the same amount of paint

then

sum the total pieces of furniture

20+5=25 pieces

Find the unit rate

Divide the total gallons of paint used by the total pieces

\frac{4}{25}=0.16\ \frac{gallons}{piece}

therefore

0.16 gallons of paint are used on each piece of furniture.

The answer lies between the whole numbers 0 and 1.

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The sum of 5 times a larger number and twice a smaller is 5. The difference of 4 times the larger and the smaller number is 4. F
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1 and 0

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Method 1: Substitution

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Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.

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4y=4+x

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Then substitute for x in the other equation and solve for y.

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Now we can go back to our equation for x and substitute for y.

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Method 2: Elimination

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Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.

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Now we have 5y+2x=5 and 8y-2x=8.

Add the sides of both equations to cancel the x values.

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x=0

y, the larger number, is 1 and

x, the smaller number, is 0

6 0
3 years ago
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