4 Th question
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Here it is answer is 206
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Let the cost of 1kg sugar be x
and cost of 1kg rice be y
According to the question,
5x+7y=153.....(1)
and, 7x+5y=147.....(2)
Multiplying (1) by 7 we get,
35x+49y=1071.....(3)
and,
Multiplying (2) by 5 we get,
35x+25y=735.....(4)
Subtracting (4) from (3) we get,
35x + 49y = 1071
-35x - 25y = -735
_____________
24y = 336
_____________
24y=336
y=336/24
y=14.....(5)
Putting y=14 in (1) we get,
5x+7(14)=153
5x+98=153
5x=153-98
5x=55
x=55/5
x=11......(6)
Cost of 6kg sugar and 10kg rice=6x+10y =6(11)+10(14). [from (5) and (6)]
=66+140=206
Therefore cost of 6kg sugar and 10kg rice=
Rs. 206
Hope it helps you.
and cost of 1kg rice be y
According to the question,
5x+7y=153.....(1)
and, 7x+5y=147.....(2)
Multiplying (1) by 7 we get,
35x+49y=1071.....(3)
and,
Multiplying (2) by 5 we get,
35x+25y=735.....(4)
Subtracting (4) from (3) we get,
35x + 49y = 1071
-35x - 25y = -735
_____________
24y = 336
_____________
24y=336
y=336/24
y=14.....(5)
Putting y=14 in (1) we get,
5x+7(14)=153
5x+98=153
5x=153-98
5x=55
x=55/5
x=11......(6)
Cost of 6kg sugar and 10kg rice=6x+10y =6(11)+10(14). [from (5) and (6)]
=66+140=206
Therefore cost of 6kg sugar and 10kg rice=
Rs. 206
Hope it helps you.
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