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Out of 1800 students in a school, 750 opted basketball, 800 opted cricket and remaining opted table tennis. If a student can opt only one game, find the ratio of
(a) Number of students who opted basketball to the number of students who opted table tennis.
(b) Number of students who opted cricket to the number of students opting basketball.
(c) Number of students who opted basketball to the total number of students.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:48

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Given:Out of 1800 students in the school, 750 opted for basketball, 800 opted for cricket and the remaining opted for table tennis.To do:We have to find the ratios of the given statements if each student can obtain only one game.Solution:Number of students who opted for basketball in the school $=750$Number ... Read More

Cost of a dozen pens is $ Rs.180$ and cost of 8 ball pens is $Rs. 56$. Find the ratio of the cost of a pen to the cost of a ball pen

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:48

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Given:The cost of a dozen pens is $ Rs.180$ and the cost of 8 ball pens is $Rs. 56$.To do:We have to find the ratio of the cost of a pen to the cost of a ball pen.Solution:Cost of a dozen pens $= Rs. 180$We know that, A group of ... Read More

Consider the statement: Ratio of breadth and length of a hall is \\( 2: 5 \\). Complete the following table that shows some possible breadths and lengths of the hall.
Breadth of the hall(in meters)10
40
Length of the hall (in meters)2550
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Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:48

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Given:The ratio of breadth and length of the hall is $2:5$.To do:We have to complete the given table that shows some possible breadths and lengths of the hall.Solution:We have,  The ratio of breadth and length of the hall is $2:5$.Let the breadth of the first blank be $'b'$Therefore,  The ratio ... Read More

Present age of father is 42 years and that of his son is 14 years. Find the ratio of
(a) Present age of father to the present age of son.
(b) Age of the father to the age of son, when son was 12 years old.
(c) Age of father after 10 years to the age of son after 10 years.
(d) Age of farher to the age of son when father was 30 years old.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:48

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Given:The present age of the father is 42 years and that of his son is 14 years.To do:We have to find the ratio of the given statements.Solution:(a) The present age of the father $=42\ years$The present age of the son $=14\ years$The ratio of the present age of the father ... Read More

Mother wants to divide Rs. 36 between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is 15 years and age of Bhoomika is 12 years, find how much Shreya and Bhoomika will get.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:48

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Given:Mother wants to divide Rs. 36 between her daughters Shreya and Bhoomika in the ratio of their ages. The age of Shreya is 15 years and the age of Bhoomika is 12 years. To do:We have to find the shares of both Shreya and Bhoomika. Solution:The age of Shreya $=15\ years$The ... Read More

Answer the following:
(a) Take Sarita's present age to be \( y \) years
(i) What will be her age 5 years from now?
(ii) What was her age 3 years back?
(iii) Sarita's grandfather is 6 times her age. What is the age of her grandfather?
(iv) Grandmother is 2 years younger than grandfather. What is grandmother's age?
(v) Sarita's father's age is 5 years more than 3 times Sarita's age. What is her father's age?
(b) The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breadth is \( b \) meters?
(c) A rectangular box has height \( h \mathrm{~cm} \). Its length is 5 times the height and breadth is \( 10 \mathrm{~cm} \) less than the length. Express the length and the breadth of the box in terms of the height.
(d) Meena, Beena and Leena are climbing the steps to the hill top. Meena is at step \( s \), Beena is 8 steps ahead and Leena 7 steps behind. Where are Beena and Meena? The total number of steps to the hill top is 10 less than 4 times what Meena has reached. Express the total number of steps using \( s \).
(e) A bus travels at \( v \mathrm{~km} \) perhour. It is going from Daspur to Beespur.After the bus has travelled 5 hours, Beespur is still \( 20 \mathrm{~km} \) away. What is the distance from Daspur to Beespur? Express it using \( v \).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:48

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To do:We have to answer the given questionsSolutions:(a) Present age of Sarita $=y$ years(i) Sarita’s age 5 years from now $=$ Sarita’s present age $+$ 5$= (y + 5)$ years(ii) Sarita’s age 3 years back $=$ Sarita’s present age $- 3$= (y – 3)$ years(iii) Grandfather’s age $= 6 \times$ ... Read More

State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.
(a) \\( 17=x+7 \\)
(b) \\( (t-7)>5 \\)
(c) \\( \\frac{4}{2}=2 \\)
(d) \\( (7 \\times 3)-19=8 \\)
(e) \\( 5 \\times 4-8=2 x \\)
(f) \\( x-2=0 \\)
(g) \\( 2 m<30 \\)
(h) \\( 2 n+1=11 \\)
(i) \\( 7=(11 \\times 5)-(12 \\times 4) \\)
(j) \\( 7=(11 \\times 2)+p \\)
(k) \\( 20=5 y \\)
(l) \\( \\frac{3 q}{2}<5 \\)
(m) \\( z+12>24 \\)
(n) \\( 20-(10-5)=3 \\times 5 \\)
(o) \\( 7-x=5 \\)

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:48

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To do:We have to find which of the given expressions are equations (with a variable).Solutions:An equation is a statement of equality between two expressions consisting of variables and/or numbers.(a) \( 17=x+7 \) is an equation with variable $x$.(b) \( (t-7)>5 \) is an inequality and not an equation.(c) \( \frac{4}{2}=2 ... Read More

Complete the entries in the third column of the table.
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Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:48

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To do:We have to complete the entries in the third column of the given table.Solutions:(a) $10y = 80$If $y = 10$ then $10y=10(10)=100$$y=10$ is not a solution for the equation $10y = 80$ Therefore, the equation is not satisfied.(b) $10y = 80$If $y = 8$ then $10y=10(8)=80$$y=8$ is a solution for ... Read More

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