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nika2105 [10]
2 years ago
13

A living room will be painted with white trim. The ratio of the blue surface area between the walls is 1:10. Of 2 gallons of blu

e paint are used for the walls , how many pints of white pant do we need for the trim
Mathematics
1 answer:
bija089 [108]2 years ago
7 0

Answer:

20 gallons

Step-by-step explanation:

The living room is made up of white trim and blue surface area between the walls. Since the ratio of the blue surface area between the walls to the white trim is given by 1 : 10.

Also 2 gallons of blue paints are used for the walls, let x represent the number of white paint used in gallons. Hence:

number of white paint in gallons = [1 / (1 + 10)] * total number of paints = 1 / 11 * total number of paints

2 = 1/11  * total number of paints used

total number of paints  = 22 gallons

number of white paint (x) = [10 / (1 + 10)] * total number of paints = 1 / 11 * total number of paints

x = 10/11 * 22

x = 20 gallons

Therefore 20 gallons of white paint was used

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If y-3x=9, 7x+y=25, what is the value of x and y?
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\bold{\rm{Given}}\text{ : If y - 3x = 9, 7x + y = 25, what is the value of x and y}?

\bold{\rm{Solution}} \text{: We'll solve this by substitution method}

\dashrightarrow  y - 3x = 9 \\  \\  \dashrightarrow   \boxed{y = 9 + 3x } \qquad .. \sf eq(1)

\text{we got the value of y now getting the value of x}

\looparrowright 7x + y = 25 \\  \\  \looparrowright 7x = 25 - y \\  \\  \looparrowright  \boxed{x =   \frac{25 - y}{7}} \qquad .. \sf eq(2)

\text{Now, putting y = 9 + 3x in eq(2)}

\hookrightarrow  x =  \frac{25 - y}{7}   \\  \\ \hookrightarrow  x =  \frac{25 - 9 + 3x}{7}  \\  \\ \hookrightarrow  7x =  25 - 9 + 3x \\  \\ \hookrightarrow  7x - 3x =  16 \\  \\ \hookrightarrow  4x = 16 \\  \\ \hookrightarrow  x =  \frac{16}{4}  \\  \\ \star \quad  \boxed{ \green{ \frak{ x = 4}}}

\text{Now we know the value of x, for getting y we need to put x in eq(1)}

: \implies y = 9 + 3x \\  \\   : \implies y = 9 + 3(4) \\  \\  : \implies y = 9 + 12  \\  \\    \star \quad  \boxed{\frak{  \green{y = 21}}}

\text{Hence, values of x and y are} \:  \frak{ \green{4}}  \: \text{and} \:  \frak{ \green{21}} \: \text{respectively}.

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2 years ago
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