The cost of 2 balls and 3 bats is ₹84. The cost of 3 balls and 1 bat is ₹63. What is the cost of 5 balls and 3 bats?
Given
Cost of 2 balls and 3 bats = ₹84
Cost of 3 balls and 1 bat = ₹63
Solution
Let the cost of 1 ball be x and 1 bat be y.
2x + 3y = 84
3x + y = 63
From the second equation, find y:
y = 63 - 3x
Substitute y into the first equation:
2x + 3(63 - 3x) = 84
2x + 189 - 9x = 84
7x = 105
x = 15
Substitute x back to find y:
y = 63 - 3(15) = 18
Cost of 5 balls and 3 bats = 5(15) + 3(18) = 75 + 54 = 129
Final Answer
So the correct answer is (b)
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90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishThe cost of 2 balls and 3 bats is ₹84. The cost of 3 balls and 1 bat is ₹63. What is the cost of 5 balls and 3 bats?
The cost of 12 pens and 7 pencils is ₹285. If the cost of a pen decreases by ₹6 and the cost of a pencil increases by ₹5, then the cost of 11 pens and 3 pencils is ₹118. What is the original cost of 2 pens and 2 pencils?
If one root of the quadratic equation ax² + bx + c = 0 is the reciprocal of the other, then which of the following is correct?
18 chairs and 4 tables cost ₹7,100 and 18 chairs and 7 tables cost ₹7,700. What is the cost of 18 chairs and 5 tables?
Mahesh withdrew ₹3,100 from a bank. He received a total of 34 notes of ₹50 and ₹100 denominations. The number of ₹50 notes received by him was:
15 chairs and 3 tables cost ₹7,800 and 14 chairs and 6 tables cost ₹9,200. What is the cost of 17 chairs and 18 tables?
The cost of 4 pens and 5 pencils is ₹193 and the cost of 3 pens and 6 pencils ₹165. The cost of 4 pens and 6 pencils is:
The cost of 3 pens and 12 notebooks is ₹195. The cost of 7 notebooks exceeds the cost of 4 pens by ₹39. What is the cost of 12 pens and 6 notebooks?
3 bags and 6 pens together cost ₹744, whereas 9 bags and 9 pens together cost ₹1,854. The cost of 6 bags exceeds the cost of 10 pens by:
The cost of 15 pens and 6 pencils is ₹291. If the cost of a pen decreases by ₹9 and the cost of a pencil increases by ₹2, then the cost of 9 pens and 3 pencils is ₹75. What is the original cost of 12 pens and 3 pencils?
Suggested Test Series
Suggested Test Series
The cost of 2 balls and 3 bats is ₹84. The cost of 3 balls and 1 bat is ₹63. What is the cost of 5 balls and 3 bats?
The cost of 12 pens and 7 pencils is ₹285. If the cost of a pen decreases by ₹6 and the cost of a pencil increases by ₹5, then the cost of 11 pens and 3 pencils is ₹118. What is the original cost of 2 pens and 2 pencils?
If one root of the quadratic equation ax² + bx + c = 0 is the reciprocal of the other, then which of the following is correct?
18 chairs and 4 tables cost ₹7,100 and 18 chairs and 7 tables cost ₹7,700. What is the cost of 18 chairs and 5 tables?
Mahesh withdrew ₹3,100 from a bank. He received a total of 34 notes of ₹50 and ₹100 denominations. The number of ₹50 notes received by him was:
15 chairs and 3 tables cost ₹7,800 and 14 chairs and 6 tables cost ₹9,200. What is the cost of 17 chairs and 18 tables?
The cost of 4 pens and 5 pencils is ₹193 and the cost of 3 pens and 6 pencils ₹165. The cost of 4 pens and 6 pencils is:
The cost of 3 pens and 12 notebooks is ₹195. The cost of 7 notebooks exceeds the cost of 4 pens by ₹39. What is the cost of 12 pens and 6 notebooks?
3 bags and 6 pens together cost ₹744, whereas 9 bags and 9 pens together cost ₹1,854. The cost of 6 bags exceeds the cost of 10 pens by:
The cost of 15 pens and 6 pencils is ₹291. If the cost of a pen decreases by ₹9 and the cost of a pencil increases by ₹2, then the cost of 9 pens and 3 pencils is ₹75. What is the original cost of 12 pens and 3 pencils?
