2 tables and 3 chairs together cost 2000 dollars whereas 3 tables and 2 chairs cost 2500 dollars. Find the cost of a table and a chair.

The cost of a table is Rs 700 and Cost of 5 chairs = 5 * 200 = Rs 1000.

"Let the cost of a table is Rs t and cost of a chair is Rs c.

Given

2t + 3c = Rs 2000 1

And  

3t + 2c = Rs 2500 2

Solve these two linear equations

Multiply eqn 1 by 3 and eqn 2 by 2

6t + 9c = 6000 3

6t + 4c = 50004

Subtract Eqn 4 from 3

5c = 1000

c = 200

Substitute the value of c in eqn 1

2t + 3*200 = 2000

2t + 600 = 2000

2t = 1400

t = 700

The cost of a table is Rs 700 and Cost of 5 chairs = 5 * 200 = Rs 1000. "

answer from tejasmba

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

75

step-by-step explanation: