In The Town Of Balaoan Three Children Namely Pepe, Juan And Jose Deliver Newspapers. Pepe Delivers 3 Times Qs Many Papers As Jpse And Juan Delivers 13

in the town of balaoan three children namely pepe, juan and jose deliver newspapers. pepe delivers 3 times qs many papers as jpse and juan delivers 13 more than pepe. if the 3 children delivered 496 newspaper how many papers does each deliver?

Answer:

Jose (x) delivered 69 newspapers.

Pepe (3x) delivered 207 newspapers.

Juan (3x + 13) delivered 220 newspapers.

Explanation:

Let x, 3x and 3x + 13 be the newspapers

x + 3x + (3x + 13) = 496

Combine like terms.

7x + 13 = 496

Transpose 13 and change its sign.

7x = 496 - 13

Subtract.

7x = 483

Divide both sides by 7.

7x/7 = 483/7

x = 69

Jose delivered 69 newspapers.

3x

3(69) = 207

Pepe delivered 207 newspapers.

3x + 13

3(69) + 13

207 + 13 = 220

Juan delivered 220 newspapers.

Checking:

x + 3x + (3x + 13) = 496

69 + 3(69) + ((3)(69) + 13) = 496

69 + 207 + 220 = 496

496 = 496

TRUE


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