karenventura2688 karenventura2688
  • 14-09-2019
  • Mathematics
contestada

September 6 is a Read Book Day.Polina read 5 times as many pages as Marcus read.Together,the read 108 pages.How many pages did each person read?

Respuesta :

calculista
calculista calculista
  • 20-09-2019

Answer:

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

Step-by-step explanation:

Let

x -----> number of pages that Polina read

y ----> number of pages that Marcus read

we know that

x+y=108 ----> equation A

x=5y -----> equation B

substitute equation B in equation A and solve for y

[tex]5y+y=108\\6y=108\\y=18[/tex]

Find the value of x

[tex]x=5y -----> x=5(18)=90[/tex]

therefore

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

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