For the two weeks period, Jan earned $150 less than twice Tom's earnings. Together Jan and Tom earned $1380. How much did Tom earn?
2x+150=1380
Subtract 150 to each side
2x=1230
Divide both sides by 2x
X=615
Tom earned $615
The earnings of Tom is $510.
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,
⇒ \(x=2y-150\) ------ (1)
Together Jan and Tom earned $1380,
⇒ @@MATH_TOKEN_1@@ ------- (2)
Now substitute equation 1 in 2,
⇒ @@MATH_TOKEN_2@@
⇒ @@MATH_TOKEN_3@@
⇒ @@MATH_TOKEN_4@@
⇒ @@MATH_TOKEN_5@@
⇒ @@MATH_TOKEN_6@@
Hence we can conclude that the earnings of Tom is $510.
Learn more about word problems here
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