The three Math Idol judges have been eliminating contestants all day! The number of one-step equations and two-step equations who have been eliminated today is equal to 1150. If three times the number of one-step equations minus twice the number of two-step equations is equal to 1300, how many one-step equations eliminated today?

430

720

1150

1300

Question

The three Math Idol judges have been eliminating contestants all day! The number of one-step equations and two-step equations who have been eliminated today is equal to 1150. If three times the number of one-step equations minus twice the number of two-step equations is equal to 1300, how many one-step equations eliminated today?

 430

 720

 1150

 1300

reemii · Answer

Name the variables:
x : number of 1-step equations
y : number of 2-step equations

Then translate the statement sentences into math:
""The number of one-step equations and two-step equations who have been eliminated today is equal to 1150.""
-> x + y = 1150

and
""three times the number of one-step equations minus twice the number of two-step equations is equal to 1300""
-> ... ?

you obtain 2 equations that you have to solve. Then they ask you the value of x.

reemii · Answer

what equation would you write for the second sentences?

anonymous · Answer

so the next equation would be : 3x - 2y = 1300 ?

reemii · Answer

That is correct.

anonymous · Answer

thank youuu!

reemii · Answer

x+y=1150
3x-2y=1300.

you can solve that right?

anonymous · Answer

yup, thanks

reemii · Answer

you'r ewelcome.