a history book weights 24 oz more than a math book. the marh book is 75% the weight of the history book. how much does each book weight

Respuesta :

The weight of the math and the history book are 72 and 96 ounces respectively.

How to find the weight of a book?

A history book weights 24 oz more than a math book.

Therefore,

let

x = weight of math book

weight of history book = 24 + x

The math book is 75% the weight of the history book.

Therefore,

math book weight = 75 / 100 (24 + x)

x = 75 / 100 (24 + x)

x = 1800 + 75x / 100

100x =  1800 + 75x

100x - 75x =  1800

25x = 1800

x = 1800 / 25

x = 72

Therefore,

weight of math book = 72 ounces

weight of history book = 72 + 24 = 96 ounces.

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