Question

A metal X is 15 times as dense as metal Z and a
metal Y is 8 times as dense as metal Z. In what
ratio should these two metals be mixed to get an
alloy which is 13 times as dense as metal Z?
(2) 2:5
(6) 2:3
(c) 3:2
(d) 5:2

please answer with explanation​

Answer 1

Option 'd' is correct.

Step-by-step explanation:

Since we have given that

X is 15 times as dense as Z

Y is 8 times as dense as Z

So, X = 15z

Y = 8z

So, we need to find the ratio of two metals that need to be mixed to get an alloy i.e. 13 times as dense as Z

Let X and Y are mixed in p:q ratio.

According to question, it becomes

$\dfrac{px+qy}{p+q}=13z\\\\\dfrac{15zp+8zq}{p+q}=13z\\\\15zp+8zp=13zp+13zq\\\\15zp-13zp=13zq-8zq\\\\2zp=5zq\\\\\dfrac{p}{q}=\dfrac{5z}{2z}\\\\\dfrac{p}{q}=\dfrac{5}{2}$

Hence, Option 'd' is correct.

# learn more:

A metal x is 16 times as dense as metal z and metal y is 7 times as dense as metal z. In what ratio should x and y be mixed to get an alloy 12 times as dense as metal z?

https://brainly.in/question/9494191