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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?

Sagot :

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.

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

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