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In Mathematics / High School | 2014-11-27

For the two-week period, Jan earned $150 less than twice Tom's earnings. Together, Jan and Tom earned $1380. How much did Tom earn?

Asked by ricanchic904

Answer (3)

2x+150=1380 Subtract 150 to each side 2x=1230 Divide both sides by 2x X=615 Tom earned $615

Answered by sammyz0911 | 2024-06-10

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 ,
⇒ x = 2 y − 150 ------ (1)
Together Jan and Tom earned $1380,
⇒ x + y = 1380 ------- (2)
Now substitute **equation **1 in 2,
⇒ 2 y − 150 + y = 1380
⇒ 3 y = 1380 + 150
⇒ 3 y = 1530
⇒ y = 3 1530 ​
⇒ y = 510
Hence we can conclude that the **earnings **of Tom is $510.

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Answered by KarpaT | 2024-06-16

Tom earned $510. Jan earned $870, which is $150 less than twice Tom's earnings. Together, their total earnings amount to $1380.
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Answered by KarpaT | 2024-09-30