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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 difference between the total number of 'gold' and 'copper' coins in bag 'B'?
70
80
90
100
110
- There are three bags: A, B, and C, with a total of 1510 coins.
- Bag A has 580 coins, and bag B has 510 coins. Thus, Bag C must have 1510 - 580 - 510 = 420 coins.
- The ratio of copper coins for bags A, B, and gold coins in C is 3:2:4.
- Let copper coins in A = 3x, B = 2x, and gold in C = 4x. So:
3x + 2x + 4x = Total gold in C.
- The total gold is 570, hence 4x = 570 - (3x + 2x) = 570 - 5x.
- The silver coins in B are 60 more than copper in B, so Silver B = 2x + 60.
- Gold in B is 25% less than silver in A, which means Gold B = 0.75(Silver A).
- Total copper to silver ratio is 20:27.
- Solving gives copper coins in A, B, plus Gold in C as noted. The calculated total difference of gold and copper in B results in 80.
Thus, the difference between the total number of gold and copper coins in bag B is 80.
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