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

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(39621)   (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

Use equations #2 and #3 in terms of z.

Substitute for x and y in the equation #1.
------One equation in one unknown variable, z. Solve...
Answer by ikleyn(52817)   (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 = = 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 !

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