Answer :
2x+150=1380
Subtract 150 to each side
2x=1230
Divide both sides by 2x
X=615
Tom earned $615
Subtract 150 to each side
2x=1230
Divide both sides by 2x
X=615
Tom earned $615
The earnings of Tom is $510.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Let the earnings of Jan be x and
Let the earnings of Tom be y.
Jan earned $150 less than twice Tom's earnings,
⇒ [tex]x=2y-150[/tex] ------ (1)
Together Jan and Tom earned $1380,
⇒ [tex]x+y=1380[/tex] ------- (2)
Now substitute equation 1 in 2,
⇒ [tex]2y-150+y=1380[/tex]
⇒ [tex]3y=1380+150[/tex]
⇒ [tex]3y=1530[/tex]
⇒ [tex]y=\frac{1530}{3}[/tex]
⇒ [tex]y=510[/tex]
Hence we can conclude that the earnings of Tom is $510.
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
