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SIZIF [17.4K]
2 years ago
9

Solve the following word problem using two variables. Show each step of your work.

Mathematics
1 answer:
masha68 [24]2 years ago
7 0

Answer:

John is 16 and Maya is 11

Step-by-step explanation:

x=Maya's age

x+5=John's age

x+x+5=27

2x+5=27

     -5   -5

2x=22

/2    /2

x=11

x+5=

11+5= 16

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<u><em>a specific shade of red nail polish requires 7 parts of red to 2 parts of yellow. A mixture contains 35 quarts of red and 8 quarts of yellow. </em></u>

<u><em>How can you fix the mixture to make the correct shade of red? </em></u>

<u><em>: </em></u>

<u><em>The red:yellow ratio is 7:2, we can write the mixture as 7%2F9 or 77.8% red </em></u>

<u><em>: </em></u>

<u><em>The existing mixture of 35:8 is a 43 quart mixture and can be written as: 35%2F43 or 81.4% red </em></u>

<u><em>: </em></u>

<u><em>we need to add yellow to reduce the per cent of red </em></u>

<u><em>: </em></u>

<u><em>Let y = amt of yellow required to do this </em></u>

<u><em>: </em></u>

<u><em> </em></u>

<u><em>  </em></u>

<u><em>7%2F9*(y+43) = 35 </em></u>

<u><em>Multiply both sides by 9 </em></u>

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<u><em>y = 14/7  </em></u>

<u><em>y = 2 quarts of yellow to be added, for total mixture of 45 quarts </em></u>

<u><em>; </em></u>

<u><em>: </em></u>

<u><em>Check this, it still contains 35 quarts of red but the percentage has changed </em></u>

<u><em>35%2F45 = 77.8% red which is what we want, a ratio of 7:2</em></u>


<em>here you go i hope it helps</em>


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