burgers and pizzas

3 burgers,2pizzas and 5 cokes cost 565. now 4 burgers,4 pizzas and 2 cokes cost 310 .then what is the cost of 5 burgers , 4 pizzas and 6 cokes?
please show the working along with the answer!

1 Answers

269
Astha Gupta ·

let us consider that the price of each-
burger= Rs.x
pizza= Rs.y and
coke= Rs.z..
Then cost of-
3 burgers= Rs.3x
2 pizzas = Rs.2y
5 cokes = Rs.5z

Now, according to the question, our first equation will be-
3x+2y+5z=565(1)
now, similarly...by the same concept, our second equation will be-
4x+4y+2z=310.....(2)

so,we got our 2 equations as-
3x+2y+5z=565
4x+4y+2z=310
we know that, to solve a equation in three variables...we at least need 3 equations to find out the values.....since there are only two equations...we need to figure out values in a bit different way.....

so, we will multiply equation (1) by 2.to get
6x+4y+10z=1130...(3)
now, we will add eqtn.(3)and(2)...

6x+4y+10z=1130
4x+4y+2z=310
10x+8y+12z=1440
now,dividing both sides by 2...we get

5x+4y+6z=720
that is wat u need....cost of 5 burgers, 4 pizzas and 6 cokes.... so, ur answer is..RS.720..

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