Question

The cost of two tables and three chairs is $705. If the table costs $40 more than the chair,find the cost of the table and the chair

Answer 1

the cost of the table is
`\$165`

the cost of the chair is
`\$125`

Explanation:

Let

x-----> the cost of the table

y----> the cost of the chair

we know that

`2x+3y=705` -----> equation A

`x=y+40` -----> equation B

substitute equation B in equation A

`2(y+40)+3y=705`

`2y+80+3y=705`

`5y=705-80`

`y=625/5`

`y=\$125`

Find the value of x

`x=y+40` ---->
`x=125+40=\$165`