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Svetradugi [14.3K]
2 years ago
6

Please help me this is called Writing Equations

Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
6 0
14 CD's! 252 divided by 18 is 14
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The Freedom Trail is 2 1/2 miles long. Ana walked 5/8 mile from Boston Common to the Paul Revere House. Then, she walked 3/8 mil
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1 1/2 miles

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This season, Lisa's lacrosse team has won $\frac 23 of their home games (games played at Lisa's school), but just $\frac 25 of t
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Answer:

Lisa's team have played 24 home games and 25 away games.

Step-by-step explanation:

Given:

Let x represents games played at home.

also y represent games played away.

Total number of games played = 49

∴ x+y=49 \ \ \ \  equation \ 1

Now according to given data:

Number of home games won = \frac{2}{3}

Number of away game won = \frac{2}{5}

Total games won =26

Hence

\frac{2}{3}x+\frac{2}{5}y=26\\\\\frac{2\times 5}{3\times 5}x+\frac{2\times 3}{5\times 5}y=26\\\\\frac{10}{15}x+\frac{6}{15}y=26\\\\\frac{10x+6y}{15}=26\\\\10x+6y= 26\times 15\\10x+6y = 390\\2(5x+3y)=390\\5x+3y=\frac{390}{5}\\\\5x+3y=195 \ \ \ \ equation \ 2\\

Now multiplying equation 1 by 3 we get,

3(x+y)=3\times49\\3x+3y=147 \ \ \ \ \ equation \ 3\\

Now Subtracting equation 2 by equation 3 we get,

(5x+3y=195)-(3x+3y=147)\\2x=48\\x= \frac{48}{2}=24

Substituting value of x in equation 1 we get.

x+y=49\\24+y=49\\y=49-24=25

Hence Lisa's team have played 24 home games and 25 away games.

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