Question

Julio bought tables and chairs for his restaurant. He bought 16 total items and spent $1800. Each table cost $150 and each chair cost $50. Let x represent the number of tables and y represent the number of chairs. How many tables and chairs did he buy?

Answer 1

He bought 6 chairs and 10 tables.

Explanation:

x+y = 16

he spent = $1800

1 chair = $50

y chairs = $50y

1 table = $150

x chairs = $150x

so, 150x+50y = 1800

we got two equations :

x+ y = 16

150x+50y = 1800

Using. substitution method,

x+y = 16

so, x = 16-y

Now

150x+50y =1800

or, 150(16-y) + 50y = 1800

or, 2400-150y+50y = 1800

or, 2400-1800 = 150y-50y

or, 600=100y

so, y = 6

now,

x+y = 16

or, x + 6 = 16

so, x = 10