solve the following system of equations by substitution method y = 2x and 7x - 2y = 21
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Step-by-step explanation:
SUBJECT – MATHS
Q. 1. Find the following ratios in lowest terms
(a) 2kg to 500 grams
(b) 5 Liters to 400 ml
(c) 400 m to 1 km
Q. 2. Are the following quantities in proportion or not?
(a) 15, 19, 75 and 95
(b) 16, 24, 8 and 14
Q. 3. Given that 16, 12 and x are in proportion, find x
Q. 4. Find x if
10: x : : 8 : 12
Q. 5. Find the cost of 16 apples, if the cost of 10 apples is Rs. 50.
Q. 6. While packing glasses, it was found that 150 glasses could be packed in 15 boxes. How
many boxes of the same kind will be needed, to pack 300 glasses?
Q. 7. A car travels 189 km in 63 liters of petrol. How far will it travel in 120 liters of petrol?
Q. 8. Write the following fractions as percentage
(a) 7
20
(b) 2
8
(c) 17
25
(d) 210
500
Q. 9. Write the following decimals as percentage
(a) 0.2 (b) 1.3 (c) 0.75 (d) 2.6
Q.10. Raghu planted saplings of banyan tree and banana tree in the ratio 11:9. What percentage
of both the trees was planted?
Q.11. For making dhokla, Manju used 3 parts of besan to one part of sooji. What is the
percentage of each ingredient in the mixture?
Q.12. The ratio of the pink, red and white flowers picked by shruti is 2:3:4. Find the percentage of
each type of colours flowers.
Q.13. In a group of 150 students, 30% are boys and remaining are girls. Find the number of boys
and girls in the class.
Q.14. In a gathering there were 500 people, 25% liked dhokla to eat, 30% liked paratha and the
remaining liked rice. Find the number of people that liked each dish.
Q.15. In a triangle the ratio between three angles is 2:5:3. Find the measure of all the angles.