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 1120. If three times the number of one-step equations minus twice the number of two-step equations is equal to 1300, how many two-step equations auditioned today?
Answer

708

412

1300

1120

Answer 1

explanation?

Answer 2

i would love to know where this tortured word problem comes from, because without exaggeration i have seen this here more that 20 times

Answer 3

put \(x\) as the number of one step equations, and \(y\) as the number of two step equations (whatever that means) then you know
\[x+y=1120\] and also
\[3x-2y=1300\]

Answer 4

s = one step
b= two step
s+b=1120
3s-2b=1300

Answer 5

first equation tells us that \(y=1120-x\) so we can substitute that into the second equation for \(y\) and solve
\[3x-2(1120-x)=1300\]

Answer 6

Then substitute the options for these and you should find an answer

Answer 7

\[3x-2240+2x=1300\]
\[5x-2240=1300\]
\[5x=1300+2240=3540\]
\[x=3540\div 5\]

Answer 8

i mean 412

Answer 9

412 is 2 step
708 is one step

Answer 10

i get
\[x=708\] and so
\[y=1120-708=412\]

Answer 11

what tennistar said

Answer 12

still would like to know where this comes from

Answer 13

This problem comes from a Florida/Broward Virtual School Algebra 1 Course

Answer 14

708 and 412