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Standard VIII

Mathematics

Applications (Word Problem)

In a contest ...

Question

In a contest there were $10$ problems. Each correct answer is eligible for $5$ points while each incorrect answer is penalized with a deduction of $2$ points. Venkat answered all the questions but got only $29$ points. The number of correct answers of Venkat was

5

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2

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7

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Solution

The correct option is C $7$
Let the correct answer of Venkat be x. Then
$5 x - 2 (10 - x) = 29$
or $5 x - 20 + 2 x = 29$
or $7 x = 49$
or $x = 7$

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Similar questions

In a mathematics contest with ten problems, a student gains 5 points for a correct answer and loses 2 points for an incorrect answer. If Olivia answered every problem and her score was 29, how many correct answers did she have?

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In a contest there were 10 problems. Each correct answer is eligible for 5 points while each incorrect answer is penalized with a deduction of 2 points. Venkat answered all the questions but got only 29 points. The number of correct answers of Venkat was

The correct option is C 7Let the correct answer of Venkat be x. Then5x−2(10−x)=29or 5x−20+2x=29or 7x=49or x=7

In a contest there were $10$ problems. Each correct answer is eligible for $5$ points while each incorrect answer is penalized with a deduction of $2$ points. Venkat answered all the questions but got only $29$ points. The number of correct answers of Venkat was

The correct option is C $7$
Let the correct answer of Venkat be x. Then
$5 x - 2 (10 - x) = 29$
or $5 x - 20 + 2 x = 29$
or $7 x = 49$
or $x = 7$