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

321kg is the weight of nickel..I think so

Answer 2

$\huge \underline \mathbb {SOLUTION:-}$

AnswEr:

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

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

$\rule{300}{2}$

$\pink{\bf{Given}\begin{cases}\sf{ \red{Ratio = }95 : 3 \: }\\\sf{ \green{Steel = 980 kg}\: }\end{cases}}$

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

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

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

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

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

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

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

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

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

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

$\implies\sf a = 10$

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

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

$\rule{300}{2}$

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

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