Question

a washer and dryer cost 1001 combined the washer costs 51 more the than the dryer how much does the dryer cost

Answer 1

we can write equations from the statements

a washer and dryer cost 1001 combined

`w+d=1001`

where w is the price of the washer and d the price of the dryer

the washer costs 51 more the than the dryer

`w=51+d`

then we can replace the value of w from the second equation to the first equation

`\begin{gathered} (51+d)+d=1001 \\ 51+d+d=1001 \\ 51+2d=1001 \end{gathered}`

and solve for d

`\begin{gathered} 2d=1001-51 \\ 2d=950 \\ d=(950)/(2) \\ \\ d=475 \end{gathered}`

the cost of the dryer was $475