Question
Instruction: Answer ALL questions and clearly show ALL workings 1. In a Mathematics textbook, (2)/(5) deals with Arithmetic, (3)/(7) with Algebra and the remainder with Geometry. If the book has 210 pages, how many Geometry pages are there? (5 marks)
Solution
4.7
(335 Votos)
Ximena
Elite · Tutor por 8 anos
Resposta
To find the number of Geometry pages in the Mathematics textbook, we need to determine the fraction of the book that is dedicated to Geometry.Given:-
of the book is dedicated to Arithmetic.-
of the book is dedicated to Algebra.Let's calculate the fraction of the book that is dedicated to Geometry:Total pages in the book = 210Fraction of the book dedicated to Arithmetic =
Number of Arithmetic pages =
Fraction of the book dedicated to Algebra =
Number of Algebra pages =
Fraction of the book dedicated to Geometry = 1 - (Fraction of Arithmetic + Fraction of Algebra)Fraction of the book dedicated to Geometry = 1 - (
\frac {3}{7}
\frac {2}{5}
\frac {3}{7}
\frac {2}{5}
\frac {2 \times 7}{5 \times 7}
\frac {14}{35}
\frac {3}{7}
\frac {3 \times 5}{7 \times 5}
\frac {15}{35}
\frac {14}{35} +
) = 1 -
=
Number of Geometry pages =
Therefore, there are 36 Geometry pages in the Mathematics textbook.