Question

In a certain type of steel, the ratio of iron to nickel is 95:3.Find the quantity of nickel in 980 kg of steel.

Answer 1

Answer:

The Quantity of iron is 950 kg and Nickel is 30 kg.

Step-by-step explanation:

Given :

Ratio of iron to nickel = 95 : 3

Steel = 980 kg

To find :

Quantity of nickel in the alloy

Solution :

Let the quantities be -

• Iron as 95y
• Nickel as 3y

$\boxed{\sf{95y + 3y = 980\:kg}}$

$\sf{\longrightarrow} \: 95y + 3y = 980 \\ \\ \sf{\longrightarrow} \: 98y = 980 \\ \\ \sf{\longrightarrow} \: y = \dfrac{980}{98} \\ \\ \sf{\longrightarrow} \: y = 10$

★ Quantity of Iron -

$\sf{\longrightarrow} \: 95 \times 10 \\ \\ \sf{\longrightarrow} \: 950 \: kg$

Iron = 950 kg

★ Quantity of Nickel -

$\sf{\longrightarrow} \: 3 \times 10 \\ \\ \sf{\longrightarrow} \: 30 \: kg$

Nickel = 30 kg

$\therefore$ The Quantity of iron is 950 kg and Nickel is 30 kg.

Answer 2

Answer:

$\underline{\boxed{\sf the \: quantity \: of \: nickle \: = \red{30kg}}}$

$\underline{\boxed{\sf the \: quantity \: of \: iron = \red{950 \: kg}}}$

$\rule{300}{2}$

$\large\frak{Given}\begin{cases}\large\tt{Ratio= 95:3} \\ \\\tt\large{Steel=980kg}\end{cases}$

$\large\underline\frak{To\: find :- }$

$\small\textsf{Find the quantity of nickel in \red{980 kg of steel. } }$

$\large\underline\frak{Suppose:- }$

➠$\small\underline\textsf{ the quantity of iron be =\red{95A}}$

➠$\small\underline\textsf{ the quantity of nickel be =\red{3B}}$

$\huge\underline\textsf{Explantion:- }$

$\small\underline\textsf{cross multiplication }$

$\implies\sf 95a + 3b = 980$

$\implies\sf 95a + 3y = 980$

$\implies\sf a = \frac{\cancel{980}}{\cancel{98}}$

$\implies\sf a = 10$

$\small\underline\textsf{Now, }$

$\leadsto\tt the \: quantity \: of \: iron = 95 \times 10 \\\tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\:\:\: \: \: \: \: \: \: \</p><p>\:\:\: \: \: = 950 \\\leadsto\tt the \: quantity \: of \: nickel = 3 \times 10 \\\tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\:\:\: \:\: \:\:\: \: = 30$

$\rule{300}{2}$

➠$\sf the \: quantity \: of \: nickle \: = \red{30kg}$

➠$\sf the \: quantity \: of \: iron = \red{950 \: kg}$