The cost of 5kg of sugar and 7 kg of rice is Rs.153,and the cost of 7 kg of sugar and 5 kg of rice is Rs. 143. Find the cost of 6 kg of sugar and 10 kg of rice.
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Rs. 207.33
Step-by-step explanation:
Sugar cost- s
Rice cost- r
1. 5s+7r=153
2. 7s+5r=143
6s+10r=?
Add up equations 1 and 2
- 5s+7s+7s+7r=153+143
- 12(s+r)=296
- s+r=296/12
4. s+r= 74/3
Subtract equation 2 from equation 1
- 5s+7r -7s-5r=153-143
- 2r-2s=10
5. r-s=5
Add up equations 4 and 5
- s+r+r-s= 74/3+5
- 2r=89/3
- r= 89/6 - price of rice
- s= r-5
- s=59/6 - price of sugar
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6s+10r= 6*59/6+10*89/6= Rs. 207.33
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