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Asked by Manasa Last Modified
Tasneem
(i) Let the fixed charge of the food and the charge for food per day be x and y respectively.
According to the question,
x + 20y = 1000 ...(1)
x + 26y = 1180 ...(2)
Substituting this value of y in equation (1) from equation (2), we obtain
6y = 180
y = 30
Substituting this value of y in equation (1), we obtain:
x+ 20 x 30 = 1000
x = 1000 - 600
x = 400
Thus, the fixed charge of the food and the charge per day are Rs 400 and Rs 30 respectively.
(ii) Let the fraction be According to the question,
,
Subtracting equation (1) from equation (2), we obtain:
x = 5
Putting the value of x in equation (1), we obtain:
15 - y = 3
y = 12
Hence the fraction is
(iii) Let the number of right answers and wrong answers be x and y
respectively.
Subtracting equation (2) from equation (1), we obtain:
x = 15
Substituting the value of x in equation (2), we obtain:
30 - y = 25
y = 5
Thus, the number of right answers and the number of wrong answers is 15 and 5 respectively.
Therefore, the total number of questions is 20.
(iv) Let the speed of first car and second car be u km/h and v km/h respectively.
Speed of both cars while they are travelling in same direction = (u - v) km/h
Speed of both cars while they are travelling in opposite directions i.e., when they are travelling towards each other = (u + v) km/h
Distance travelled = Speed x Time
adding the two equations, we get,
Substituting the value of u in equation (2), we obtain:
v = 40
Hence, speed of the first car is 60 km/h and speed of the second car is 40 km/h.
(v) Let length and breadth of rectangle be x unit and y unit respectively.
Area = xy
By cross multiplication method,
Thus, the length and breadth of the rectangle are 17 units and 9 units respectively.
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