A collection of 307 coins consisting of 25-centavo and 10-centavo coins has a total
value of ?54.25. How many of each kind of coin are there?
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A collection of 307 coins consisting of 25-centavo and 10-centavo coins has a total
value of ?54.25. How many of each kind of coin are there?
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Answer:
- 157 25-centavo coins and 150 10-centavo coins.
• Explanation:
- Representation
x = 25 centavo
307 - x = 10 centavo
- Solution
.25x + .10(307-x) = 54.25
.25x + 30.7 - .10x = 54.25
Transpose > .25x - .10x = 54.25 - 30.7
.15x = 23.55
x = 157 > 157 25-centavo
307 - 157 = 150 > 150 10-centavo
157 x . 25 = P39.25
150 x .10 = P15.00
P39.25 + P15.00 = P54.25