Question

if x:y =z:w=2.5:1.5 the value of (x+z)/(y+w)

Answer 1

Hope it helps ......................

Answer 2

Answer:

Step-by-step explanation:

Concept:

The division method of comparing two amounts can be very effective in some circumstances. We can say that a ratio is the comparison or condensed form of two quantities of the same type. We may determine how many times one quantity is equal to another using this relationship. The ratio can be defined as the number that can be used to represent one quantity as a percentage of another.

Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects. A ratio is indicated by the symbol ":".

As a result, the ratio can be expressed in three distinct ways, including:

• $a$ to $b$
• $a: b$

• $a/b$

• There should be a ratio between the amounts of the same kind.
• The units used to compare two items should be comparable.
• There should be a meaningful phrase order.
• If two ratios are comparable to one another like fractions, they can be compared.

Formula for ratio:

$a: b (or) a/b$

An equation known as proportion shows that the two ratios presented are equal to one another. In other terms, the proportion asserts the equality of the two fractions or the ratios. In terms of proportion, two sets of supplied numbers are said to be directly proportional if they increase or decrease in the same ratio.

Formula for proportion:

$a/b=c/d (or) a:b::c:d$    

Given:

$x:y=z:w=2.5:1.5$

To Find:

$(x+z)/(y+w)$

Solution:

Given that

$x:y=z:w=2.5:1.5$

$\frac{x}{y} =\frac{z}{w} =\frac{2.5}{1.5}$

$\frac{x}{y} =\frac{5}{3}$

$x=\frac{5}{3} y$

$\frac{z}{w} =\frac{5}{3}$

$z=\frac{5}{3} w$

$x+z=\frac{5}{3} y+\frac{5}{3} w$

$x+z=\frac{5}{3} (y+w)$

$\frac{x+z}{y+w} =\frac{5}{3}$

Hence  $(x+z)/(y+w)=\frac{5}{3}$

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