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1. A collection o 16 coins , each with a face value either 10 paisa or 25 paisa, has a total face value of Tk. 2.35. How many of the coins have a face value of 25 paisa?
- A. 3
- B. 3
- C. 3
- D. 3
Answer: Option B
Explanation:
A Collection of 16 coins,each with a face value of either 10 paisa or 25 paisa, has a total face value of Tk. 2.35 How many of the coins have a face value of 25 paisa? We can let the number of 10 - paisa coins = d and the number of 25 - paisa coins = q. We are given that there are 16 total coins; thus, d + q = 16.
We are also given that the total face value isTk.2.35, thus: 0.1d + 0.25q = 2.35
10d + 25q = 235
Isolating d in our first equation, we have d = 16 - q. We can substitute 16 - q for d in our second equation and we have: 10(16 - q) + 25q = 235
160 - 10q + 25q = 235
15q = 75
q = 5
There are 5 coins with a face value of 25 paisa.
We are also given that the total face value isTk.2.35, thus: 0.1d + 0.25q = 2.35
10d + 25q = 235
Isolating d in our first equation, we have d = 16 - q. We can substitute 16 - q for d in our second equation and we have: 10(16 - q) + 25q = 235
160 - 10q + 25q = 235
15q = 75
q = 5
There are 5 coins with a face value of 25 paisa.
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