Question

Sally has decided to spend some time over two days soving math problems. She figures that on the first day she wil be able to solve 19 long division problems and 11 graphing problems in 273 minutes. On the second day, she will be able to solve 12 long division problems and 17 graphing problems in 283 minutes. How long does it take Sally to solve one Long division problem?

Answer 1

A system of equations for this would be

19x + 11y = 273

and

12x + 17y = 283.

X is the amount of minutes to solve one long division problem and y is the amount of minutes to solve a graphing problem.

How To Solve This System of Equations.

Multiply both by 17 and 11 respectively for them to have the greatest common factor for y. So now both equations are:

323x + 187y= 4641

132x + 187y= 3113.

Subtract both equations and you have left:

191x = 1528.

Divide both sides by 191 and you find x.

X = 8.

Answer

It takes Sally 8 minutes to do one Long Division Problem.

Hope this helped. ;)

Answer 2

Hello,

Your answer would be: 8 minutes

~Rendorforestmusic