Examples of partitive proportions

Answer 1

1. Divide 1035 in the ratio of 2:3:4.
2. A father wants to leave $4675 to his four children in the ratio of 1:3:3:4. How much will each of the four children receive?
3. John plans to donate his collection of 3042 books to three libraries in the ratio of 1:3:5. How many books will each library get?

To get the answer, divide the number representing the total, by the sum of the terms in the ratio then, multiply the quotient by each of the term in the ratio.

1. 1035 = number representing the total
2, 3 and 4 = terms in the ratio
9 = sum of the terms in the ratio

1035 / 9 = 115

then, multiply 115 by each of the term in the ratio

115 X 2 = 230
115 X 3 = 345
115 X 4 = 460

Final Answer = 230, 345 and 460

To check, add them all
230 + 345 + 460 = 1035

2. $4675 = total amount father wants to leave to the children
1, 3, 3 and 4 = terms in the ratio
11 = sum of the terms in the ratio

$4675 / 11 = $425

so, we need to multiply this by each of the term in the ratio

$425 x 1 = $425
$425 x 3 = $ 1275
$425 x 3 = $ 1275
$425 x 4 = $ 1700

Final Answer = $425, $1275, $1275 and $1700

To check,
$425 + $ 1275 + $ 1275 + $ 1700 = $ 4675

3. 3042 = total number of books
1, 3 and 5 = terms in the ratio
9 = sum of the terms in the ratio

3042 / 9 = 338

when multiplied by each term in the ratio, we get

338 x 1 = 338
338 x 3 = 1014
338 x 5 = 1690

Final Answer = 338, 1014 and 1690

to check
338 + 1014 + 1690 = 3042

Answer 2

Oh honey, let me break it down for you. Partitive proportions are like comparing a part to the whole, so think of it like this: if you have 2 slices of Pizza out of 8 total slices, that's a partitive proportion of 2:8. It's all about showing the relationship between the part and the whole, so don't overcomplicate it, just keep it simple and sassy.

Answer 3

Partitive proportion is a mathematical concept that compares a part to the whole using ratios. An example of a partitive proportion is: "If 3 out of 5 students in a class are girls, then the ratio of girls to total students is 3:5." Another example could be: "If a recipe calls for 2 cups of flour for every 5 cups of sugar, then the partitive proportion of flour to sugar is 2:5." These examples demonstrate how partitive proportions can be used to compare different parts within a whole.

Answer 4

Oh, dude, partitive proportions are like when you have a pizza and you want to know how much each person gets. It's basically dividing a whole into equal parts. So, if you have 8 slices and 2 people, each person gets 4 slices. It's like math for sharing food, but way less tasty.

Answer 5

1. Divide 1035 in the ratio of 2:3:4.
2. A father wants to leave $4675 to his four children in the ratio of 1:3:3:4. How much will each of the four children receive?
3. John plans to donate his collection of 3042 books to three libraries in the ratio of 1:3:5. How many books will each library get?