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Directions: Answer the questions based on the information given below.
There are three types of coins i.e. 'Gold', 'Silver', and 'Copper' in each of three bags A, B, and C. The total number of coins in all the bags is 1510. The number of coins in bag 'A' is 580 and the total number of coins in bag 'B' is 510. The ratio between the number of copper coins in bag 'A', the number of copper coins in bag 'B', and the number of 'Gold' coins in bag 'C' is 3 : 2 : 4 respectively. The number of silver coins in bag 'B' is 60 more than the number of copper coins in bag 'B'. The number of 'Gold' coins in bag 'B' is 25% less than the number of silver coins in bag 'A'. The total number of 'gold' coins in all three bags is 570. The ratio of the total number of copper coins in all three bags and the total number of silver coins in all three bags is 20 : 27.
Find the total number of silver coins in bag 'B' and bag 'C' together?
250
260
270
280
290
- Total coins in bags: A = 580, B = 510, overall = 1510. Hence, C = 1510 - 580 - 510 = 420.
- The copper coin ratio in A, B, and the gold coins in C is 3:2:4. Let the copper coins in A be 3x. Then, in B, it's 2x, and gold in C is 4x.
- Silver coins in B are 60 more than copper in B: 2x + 60.
- Gold coins in B are 25% less than silver in A. Let silver coins in A be y, then gold in B is 0.75y.
- Total gold coins in A, B, and C = 570.
- Total copper to silver ratio is 20:27.
Using the information:
1. Copper Coins: 3x+2x+Copper in C=Total copper coins
2. Silver Coins: y+(2x+60)+Silver in C=Total silver coins
3. Use equations to find x and then calculate the silver coins in B and C.
Following calculations can get the value of x, y, and respective silver coins easily. The value for the coins should satisfy all conditions of ratio and totals.
Total number of silver coins in B and C together will be 280.
- Correct Answer: Option 4, 280
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