45 times the numerator plus the denominator is most likely going to equal the same amount as if it were doubled.
Let p = number of pennies.
Let n = number of nickels.
We are given that n= 2p and the total value is $8.80.
We know that a penny = $0.01 and that a nickel = $0.05.
So $0.01p + $0.05n = $8.80.
Substitute 2p for n:
$0.01p + $0.05*2p = $8.80
$0.01p + $0.10p = $8.80
$0.11p = $8.80
p = 80
So n = 2p = 2*80 = 160
Thus there are 80 pennies ($0.8) and 160 nickels ($8.00). The value of all the coins is $8.80.
<span>I think you know by now that I strongly encourage everyone to shoot a proper round and whatever the score is, to submit it to our Records Officer, Giles Conn. Think of it as an annual competition (a) to wear him out, and (b) to see if we can altogether, beat last year's tally. Also, for the outdoor season rounds, you can have a go at achieving the St Wilfred trophy. I've won it 3 years running (last year jointly with Terry Skinner), but they wouldn't let me keep it this time, sadly.</span>
SOLUTION
Write out the equation
To solve this system of equation, the aprropriate method will be substitution
Substitute the expression for y into the second equation for y, we have
Expand the paranthesis we have
Divide both sides by 4, we have
Since the value of x has been obtained, we substitute into the first equation
Therefore
x = -3, y= -4
<span>10X- 5x- 3x= 0
2x = 0
x = 0
The solution set is:
S={0}
Hope be useful
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