( Melanie has 230 coins in her collection- Number of European and non-European coins)And now has 180 European coins. Write an equation To determine the number of non-European coins, E, If Melanie has t total coins figure/find the Non-European coins and Identify the constant of proportionality. Pls show work thank you:/

Respuesta :

Total number of coins(including European and non European coins) =230

Number of European coins = 180

Let the number of non European coins be = E

T is the total coins or T =230

The equation to determine non European coins is

[tex]E=T-180[/tex]

Solving this we get [tex]E=230-180=50[/tex]

hence, E = 50


Answer:

The amount of Non-Europeans coins is 50, and the constant of proportionality is approximately 0.217

Step-by-step explanation:

Let T be the total of coins, E be the number of European coins, and nE be the number of non-European coins, then

[tex]T=E+nE[/tex]

so, in order to know the amount of non-European coins (nE), we clear nE from the equation

[tex]nE=T-E=230 coins-180coins=50coins[/tex]

Finally, the constant C of proportionality is given by the following ratio

[tex]C=\frac{non-European}{Total}=\frac{nE}{T}=\frac{50}{230}\approx0.217[/tex]

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