A cashier has a total of 45 coins consisting entirely of ₱5 and ₱10 denominations. If the total monetary value of the coins is ₱325, how many ₱10 coins are there?
Answer and explanation
Correct answer: C. 20 coins
- Step 1: Let x be the number of ₱10 coins, and (45 - x) be ₱5 coins. Step 2. Value equation: 5(45 - x) + 10x = 325 => 225 - 5x + 10x = 325. Step 3. 5x = 325 - 225 = 100 => x = 20. Answer: 20 coins, setting up 5(45 - x) + 10x = 325 which simplifies to 5x = 100. Why not the others: 25 is the number of ₱5 coins (25 5 = 125, plus 20 10 = 200, sum = 325).
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