*fan and medal awarded*
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 1070! If three times the number of one-step equations minus twice the number of two-step equations is equal to 110, how many one-step equations auditioned today?
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
This answer will only tell you the number of one-step equations that have been eliminated.
We don't actually know how many auditioned.
Also, be careful with the use of ! in mathematics as 1070! = 1070 x 1069 x 1068 x.......x 3 x 2 x1
Let A be the number of one-step equations eliminated and B the number of two-step equations eliminated then,
A + B = 1070 .....Equation (1)
and we are told that, 3A - 2B = 110.....Equation (2)
multiplying Eqn (1) by 2 gives
2A + 2B = 2140........now add Eqn(2)
3A - 2B = 110
5A = 2250 ⇒ A = 450....which is the number of one-step equations ELIMINATED today.