1) If the ratio of boys to girls in a class is 3:4 and there are 28 girls, how many boys are there? a) 18 b) 21 2) Simplify the ratio 36:54. a) 2:3 b) 2:5 3) Two quantities are in the ratio 5:7. If the sum is 72, find the larger quantity. a) 42 b) 45 4) Find the equivalent ratio of 14:8. a) 7:4 b) 6:3 5) If 7 litres of juice is mixed with 5 litres of water, what is the ratio of juice to water? a) 7:5 b) 5:7 6) Find x if 2:x = 5:15. a) 3 b) 6 7) The ratio of salt to water in a solution is 2:9. How many litres of salt are there in 22.5 litres of solution? a) 5 b) 6 8) If the ratio of sides of two triangles are 3:4 and the area of the smaller triangle is 27 sq cm, find the area of the larger triangle. a) 36 b) 48 9) Solve for x: 5:8 = x:24. a) 15 b) 12 10) Two numbers are in the ratio 7:3. If their difference is 20, find the smaller number. a) 15 b) 12 11) If the ratio a:b = 5:7 and b:c = 14:15, find the ratio a:b:c. a) 10:7:15 b) 10:14:15 12) The ratio of milk to water in a container is 3:2. If there are 20 litres of milk, find the amount of water. a) 15 b) 10 13) If 5 pens cost $15, how many pens can you buy for $42? a) 14 b) 15 14) The ratio of ages of two siblings is 7:5. If the elder is 28 years old, how old is the younger? a) 20 b) 18 15) If 3kg of sugar costs $6, what is the cost of 7kg of sugar? a) 14 b) 12 16) Two numbers are in ratio 4:9. Find the numbers if their sum is 65. a) 22 and 43 b) 20 and 45 c) 23 and 42 d) 25 and 40 17) The sides of a triangle are in the ratio 2:3:4 and its perimeter is 54 cm. Find the length of the longest side. a) 24 b) 22 18) Solve for x: (3/4) = (x/20) a) 12 b) 15 19) Solve for x: (4/x) = (6/9). a) 4 b) 6 20) If (5/x) = (15/45), solve for x. a) 10 b) 15

Ratio to Proportions

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