Simplifying and Equivalence
What is the simplified form of the ratio 6 to 8?
3:4
The ratio of boys to girls in a class is 2:3. If there are 30 students in total, how many boys are there?
12
If a:b = 1:4 and b:c = 4:5, what is a:b:c?
1:4:5
Express the scale “2 cm to 100 m” in the form 1 : n.
1:5000
What ratio simplifies to 7:6 when both terms are divided by 14?
98:84
The ratio of cats : dogs : giraffes in a zoo is 2:5:7. If the difference between the number of cats and dogs is 15, how many giraffes are there?
35
If a:b = 5:3 and b:c = 6:9, what is a:b:c?
10:6:9
On a floor plan, a 100 m track measures 20 cm. Express the scale in the form 1 : n
1:500
What is the simplified form of the ratio 0.32 to 0.8?
2:5
A sum of $1,500 is shared between A and B in the ratio 3:2. What is A’s share?
$900
If a:b = 4:3 and a:c = 5:3, what is a:b:c?
20:15:12
A map has scale 1 : 200,000. If the distance between two towns is 16.5 cm on the map, what is the actual distance in kilometers?
33 km
What is the simplified form of the ratio 0.5 kg to 200 g?
5:2
Henry spends $13,875 monthly, with savings to expenditure ratio of 2:3. What are his savings?
$9250
It is given that a/b=2 and b/c=5. What is a:b:c?
10:5:1
The scale of a map is 1 : 500,000 and a railway measures 6.1 cm on the map. What is its actual length?
30.5 km
What is the simplified form of the ratio 0.125 to 2/3 ?
3:16
A group is divided into two parts in the ratio 2:3. Later, 5 people join the first group, and the ratio becomes 3:4. What was the original number of people in the first group?
40
It is given that a/b=3 and c=2b. What is a:b:c?
3:1:2
A map has scale 1 : 300,000. If the actual distance between two cities is 47 km, what is the distance on the map? (in cm to the nearest hundredth)
15.67 cm