Sharing In A Given Ratio Quiz! Test

Explanation
The given ratio is 10:21. To rewrite it in the form 1:n, we need to find a common factor that can divide both 10 and 21. The common factor is 1. Dividing both numbers by 1 gives us 10/1:21/1, which simplifies to 10:21. Therefore, the ratio is already in the form 1:n, and the answer is 10:21.

Explanation
The equivalent ratio for 9 hours : 1 day is 3 : 8. This means that for every 3 hours, there is 1 day and for every 8 hours, there is 1 day as well. Therefore, the correct answer is 8,3:8.

Explanation
The given question states that £12 is divided in the ratio 1:2. This means that the first part is 1 and the second part is 2. To find the value of each part, we divide £12 by the sum of the parts (1+2=3). £12/3 = £4. Therefore, the first part is £4 and the second part is £8.

Explanation
The given ratio is 1:4, which means that for every 1 pound, there are 4 pounds. Therefore, if we divide £10 in this ratio, we will have £2 for the first part and £8 for the second part.

Explanation
In the given ratio 1:3, the first blank represents the value that corresponds to 1 part. Since the value is £40, it can be concluded that each part is equal to £40. Therefore, the first blank is 10, as 10 parts of £40 each would make £400. Similarly, the second blank represents the value that corresponds to 3 parts. As each part is £40, three parts would be £120. Hence, the second blank is 30, as £120 can be represented as 3 parts of £40 each.

Explanation
The given ratio is 1 : n^2 : 5. To rewrite this ratio in the form 1 : ..........., we need to determine the value of n. Given that the ratio 2.5, 1 : 2.5 is the answer, it means that n^2 is equal to 2.5 and n is equal to 1. Therefore, the ratio can be rewritten as 1 : 2.5 : 5.

Explanation
The ratio of female to male members of the sports center is 3:1, which means that for every 3 female members, there is 1 male member. Since the total number of members is 400, we can calculate the number of female members by dividing 400 by the sum of the ratio's parts (3+1=4), and then multiplying by the first part of the ratio (3/4*400=300). Similarly, we can calculate the number of male members by dividing 400 by 4 and multiplying by the second part of the ratio (1/4*400=100). Therefore, there are 300 female members and 100 male members.

Explanation
The equivalent ratio for 1kg : 300g is 1 : 0.3. This means that for every 1 kilogram, there is 0.3 of a unit. In this case, the unit is grams. So, 300 grams is equivalent to 0.3 of a kilogram. Another way to express this ratio is 1 : 0.3, where for every 1 unit, there is 0.3 of another unit.

Explanation
The given ratio is 4:5. To rewrite this ratio in the form 1:n, we need to find the value of n that makes the ratio 1:n equivalent to 4:5. To do this, we divide both sides of the ratio 4:5 by 4. This gives us 1:1.25. Therefore, the ratio 1:n is 1:1.25.

Explanation
The given ratio is 5:8. To rewrite this ratio in the form 1:n, we need to find a common factor that can be divided by both 5 and 8. The common factor is 40. Dividing 5 by 5 and 8 by 5, we get 1:1.6. Therefore, the ratio 5:8 can be rewritten as 1:1.6.

Explanation
The given question states that there is a total weight of 25kg, which is divided in the ratio of 2:3. This means that one part of the weight is 2 units and the other part is 3 units. To find the weight of each part, we need to divide the total weight by the sum of the ratio parts, which is 2+3=5. Therefore, each unit of the ratio represents 25kg/5 = 5kg. Multiplying this by the respective parts of the ratio, we find that the weights are 2 units * 5kg = 10kg and 3 units * 5kg = 15kg.

Explanation
The ratio 5:3 represents the number of hours in a day. The first number, 5, corresponds to the number of hours in the first part of the day, while the second number, 3, represents the number of hours in the second part of the day. Therefore, in the given ratio, the first blank should be filled with 15 (5 multiplied by 3) and the second blank should be filled with 9 (3 multiplied by 3).

Explanation
The given question states that £5 is in the ratio 3:7. This means that the total ratio is 3+7=10. To find the amount in each part of the ratio, we divide £5 by 10, which gives us £0.50. Therefore, the amounts in the ratio are £1.50 and £3.50.