the cost of 15kg tea and 17kg coffee is Rs.183 and the cost of 25kg tea and 13kg coffee is Rs.213 what will be the cost of 7kg tea and 1 kg coffee
Answers
Answer:
use pair of equations like substation method
Answer:
Rs.114
Step-by-step explanation:
Let the cost of 1kg tea be t. and
cost of 1kg coffee be c.
thus,
according to the given condition,
15t+17c=183......(1)
25t+13c=213......(2)
7t+c= ?
Adding (1) and (2),
15t+17c+25t+13c=183+213
15t+25t+17c+13c=183+213
40t+30c=396......(3)
Subtracting (1) from (2)
25t+13c-(15t+17c)=213-183
25t-15t+13c-17c=30
10t-4c=30......(4)
t=(30+4c)/10.......(5)
Put value of 't' in equation (3),
40[(30+4c)/10]+30c=396
4(30+4c)=396-30
120+16c=366
16c=366-120
16c=240
c=15
Thus, 7c=7×15
7c=105......(6)
Put value of c in equation (5)
t=(30+4c)/10
t=(30+4×15)/10
t=(30+60)/10
t=90/10
t=9........(7)
Adding (6) and (7),
7c+t=105+9
7c+t=114
Therefore,
the cost of 7kg tea and 1 kg coffee is Rs.114.
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