Question

An alloy consists of three metals X, Y, and Z. Calculate the ratio X Z given that X:Y=8:5 and
Y:Z=7:4​

Answer 1

Step-by-step explanation:

Explanation:

To solve this you need to adopt the fraction style of ratio presentation

x

y

=

5

2

y

z

=

3

2

Need

x

z

Consider

x

y

×

y

z

Write this as:

x

×

y

y

×

z

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

As an example of what I am about to do consider

3

×

2

. You have the same result if you reverse these numbers.

So

3

×

2

=

2

×

3

=

6

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So

x

×

y

y

×

z

=

x

×

y

z

×

y

=

x

z

×

y

y

=

x

z

.

⇒

x

z

=

x

y

×

y

z

=

5

2

×

3

2

=

15

4