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Molly read 50 out of the 200 pages in her fiction book. Joel is also reading a fiction book, but his book has 280 pages in total. If Joel reads x pages such as the ratio of pages he read is a equivalent to the ratio of pages molly has read, find the value of x.

Respuesta :

MrRoyal

Answer:

[tex]x = 70[/tex]

Step-by-step explanation:

Given

Molly: 50 out of 200

Joel: x out of 280

Required

Find x

Start by representing the giving parameters as ration

Molly= 50 : 200

Joel = x : 280

From the question, the ratios are equivalent. So,

[tex]50 : 200 = x : 280[/tex]

Convert to fractions

[tex]\frac{50}{200} = \frac{x}{280}[/tex]

Solve for x

[tex]x = \frac{50}{200} * 280[/tex]

[tex]x = \frac{1}{4} * 280[/tex]

[tex]x = \frac{280}{4}[/tex]

[tex]x = 70[/tex]

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