5kg sugar and 6kg rice together costs 258 while 7kg sugar and 5kg rice costs 246...

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September 2021 2 60 Report

5kg sugar and 6kg rice together costs 258 while 7kg sugar and 5kg rice costs 246. find the total cost of 8kg sugar and 10kg rice

Ayano160 Hi there,
Make sugar = x
rice = y
5x + 7y = 153......Eq(1)
7x + 5y = 147......Eq(2)
Multiply Eq(1) by 5
Multiply Eq(2) by 7
25x + 35y = 765....Eq(1)
49x + 35y = 1029...Eq(2)
Subtract Eq(1) from Eq(2)
24x = 264
x = 11
Substitute x = 11 into Eq(1)
5x + 7y = 153......Eq(1)
5(11) + 7y = 153
55 + 7y = 153
7y = 153 - 55
7y = 98
y = 14
x = 11; y = 14
6kg of sugar
6(11) = 66
10kg of rice
10(14) = 140
Total price = 206
Hope this helps :-)

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