Question

ii) In a particular type of steel, the ratio of iron and carbon is 49:1. Caiculate to find in 250 quintal of such steel how much Iron is there.


please friend step by step explain please ok​

Answer 1

Given:

• The ratio of iron and carbon = 49:1.
• Total steel = 250 quintal

To Find:

• How much iron is there = ?

Solution:

Let the amount of iron and carbon be 49x and x respectively.

According to the question —

$\sf \implies \: 49x + x = 250 \\ \\ \sf \implies \: 50x = 250 \\ \\ \sf \implies \: x = 5$

Hence the value of x is 5.

Therefore —

• Amount of Iron = 49x = 49 * 5 = 245 quintal
• Amount of carbon = x = 5 quintal

Answer 2

total weight of steel = 250 quintal

let amount of iron in it be 49x....i)

let amount of carbon in it be x....ii)

then , we have

x +49x =250 quintal of steel

50x=250

x=250/50

x=5

now substitute value of x in i) and ii)

i) 49x=49×5= 245 quintal of iron

ii) 1x=1×5= 5 quintal of carbon