Question

These questions are based on the data given below. A test of 60 minutes contains questions on Mathematics and English only. The time taken to solve a Mathematics question is twice the time taken to answer an English question and the ratio of time taken to solve all Mathematics questions to time taken to answer all English questions is $8 / 7 .$ What is the ratio of the number of English questions to that of Mathematics? (A) $11 / 7$ (B) $7 / 4$ (C) $9 / 4$ (D) $7 / 5$

Name: Problem 19, Chapter 2: Computer Science and Information Technology
Uploaded: 2021-12-12T13:36:17-08:00
Duration: 1 min 41 s
Channel: Prabhu Ramji

   These questions are based on the data given below.
A test of 60 minutes contains questions on Mathematics and English only. The time taken to solve a Mathematics question is twice the time taken to answer an English question and the ratio of time taken to solve all Mathematics questions to time taken to answer all English questions is $8 / 7 .$
What is the ratio of the number of English questions to that of Mathematics?
(A) $11 / 7$
(B) $7 / 4$
(C) $9 / 4$
(D) $7 / 5$

Computer Science and Information Technology

Trishna Knowledge… 2018 Edition

Chapter 2, Problem 19

Instant Answer

Solved by Expert Prabhu Ramji

12/12/2021

Step 1

Let the time taken to solve an English question be $x$ minutes. Therefore, the time taken to solve a Mathematics question is $2x$ minutes. Show more…

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These questions are based on the data given below. A test of 60 minutes contains questions on Mathematics and English only. The time taken to solve a Mathematics question is twice the time taken to answer an English question and the ratio of time taken to solve all Mathematics questions to time taken to answer all English questions is $8 / 7 .$ What is the ratio of the number of English questions to that of Mathematics? (A) $11 / 7$ (B) $7 / 4$ (C) $9 / 4$ (D) $7 / 5$

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Key Concepts

Ratios and Proportions

This concept involves comparing quantities relative to each other. It is a fundamental aspect of algebra that helps in solving problems where the relationship between parts of a whole or between different groups is expressed as a ratio, allowing one to deduce unknown values when one or more ratios are provided.

Algebraic Modeling

Algebraic modeling entails translating real-world situations into mathematical expressions or equations. By representing quantities with variables and establishing relationships among these variables, one can solve problems that involve constraints and proportional relationships.

Translation of Word Problems

This concept focuses on the skill of reading and interpreting a written problem to extract pertinent mathematical information. It involves identifying key information, setting up appropriate equations, and logically solving them, which is essential for handling complex problems that require a systematic approach.

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