SOLUTION: ronnie has P92.00 in ones, fives and tens coins. He has 4 more P1.00 coins than P10.00 coins. the number of P5.00 coins is 2 more than 3 times the number of P10.00 coins. how many

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: ronnie has P92.00 in ones, fives and tens coins. He has 4 more P1.00 coins than P10.00 coins. the number of P5.00 coins is 2 more than 3 times the number of P10.00 coins. how many       Log On

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Question 1121177: ronnie has P92.00 in ones, fives and tens coins. He has 4 more P1.00 coins than P10.00 coins. the number of P5.00 coins is 2 more than 3 times the number of P10.00 coins. how many P5.00 coins are there?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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ronnie has P92.00 in ones, fives and tens coins. He has 4 more P1.00 coins than P10.00 coins. the number of P5.00 coins is 2 more than 3 times the number of P10.00 coins. how many P5.00 coins are there?
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x, P1 coins
y, P5 coins
z, P10 coins

system%28x%2By%2Bz=92%2Cx-z=4%2Cy=3z%2B2%29

Use equations #2 and #3 in terms of z.
system%28x%2By%2Bz=92%2Cx=z%2B4%2Cy=3z%2B2%29

Substitute for x and y in the equation #1.
highlight_green%28%28z%2B4%29%2B%283z%2B2%29%2Bz=92%29------One equation in one unknown variable, z. Solve...

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x be the number of P10 coins.


Then the number of P1 coins is (x+4), and the number of P5 coins is (3x+2).


The money equation then is


    (x+4) + 5*(3x+2) + 10x = 92


    x + 15x + 10x + (4 + 10) = 92


    26x = 92 - 14 = 78


    x = 78%2F26 = 3.


Answer.  3  P10 coins;  (3+4) = 7  P1 coins;  and  3x+2 = 3*3+2 = 11  P5 coins.


Check.   3*10 + 7*1 + 11*5 = 92.    ! Correct !

Solved.

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Be aware :   The solution by  @josgaritmetic is   W R O N G,   starting from his very first equation.

For your safety,  simply ignore it !