Question

Solve the following word problems by writing an equation and then solving algebraically:

During the 2007 baseball season, Wade was up to bat 10 more times than his teammate Dwight. Dwight batted 17 fewer times than another teammate, Ellis. The three players were up to bat a total of 1650 times. How many times did Ellis come to bat?

I only really need help making an equation because the ones I tried making didn't work.

Answer 1

This problem requires more than one equation, at least for me to get it to work ~this is how I did it

Wade = w     Dwight = d    Ellis = e     Up to Bat = 1650
These are the equation to find each personw = d + 10e = d +17d = w - 10    or     d = e - 17
This is the basic equation you have to plug the other equations into1650 = w + d + e
I solved for Dwight so I plugged in for w and for e1650 = (d + 10) + d + (d + 17)     ~then I simplified1650 = 3d + 27     ~everything grouped together than matched1623 = 3d     ~I subtracted 27 from both sides541 = d     ~I divided both sides by 3Dwight batted 541 times

This is where I solved for Ellis since that is what the question waskede = d + 17     ~first equation
e = 541 + 17     ~plugged in 541 for d since that's how many times d battede = 558     ~finally simplified the equation

Ellis came up to bat 558 times in the 2007 baseball season