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Scorpion4ik [409]
3 years ago
7

the cost of 2 tables and 5 chairs is Rs 2300.if a table costs Rs 30 more than a chair. find the price of each.

Mathematics
1 answer:
Snezhnost [94]3 years ago
5 0

Let us say the price of a table is x and a price of a chair y. Using this terminology we can say that the cost of 2 chairs and 5 tables is 2x+5y=2300. We have a second equation though, x=y+30 from a table being 30 more than the price of a chair. Using this we can solve the system of equations. I think substitution is the quickest way to do this. Plug x from our second equation into the first equation.

2(y + 30) + 5y = 2300

This will simplify to the price of a chair is Rs 320. And add Rs 30 to that and we can find that the price of a table is Rs 350.

It is always good to check. So go ahead and check (2*350)+(5*320) to see that the first equation works (we know the second equation works just by eyeballing. And it looks like the cost is Rs 2300! Hooray!

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