Question

asked Jan 28, 2021 11.6k views

2 Answers

Eric Gopak · Answer 1 · 2021-01-30T11:55:20+0000

$\underline{\underline{\sf \bigstar \qquad Solution \qquad \: \bigstar}} \\$

Let weight of copper be 3x and weight of zinc be 19x.

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$\underline{\boldsymbol{According\: to \:the\: Question\:now :}} \\$

$:\implies \textsf {Total weight = weight of copper + weight of zinc} \\ \\ \\$

$:\implies \textsf {Total weight = 3x +19x} \\ \\ \\$

$:\implies \underline{ \boxed{ \textsf {Total weight = 22x}}} \\ \\ \\$

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$\dashrightarrow\:\:\textsf{ Weight of chemical = weight of zinc + weight of copper} \\ \\ \\$

$\dashrightarrow \: \: \sf 22x = 3x + 19x \\ \\ \\$

$\dashrightarrow \: \: \sf 22x = 3x + 874 \\ \\ \\$

$\dashrightarrow \: \: \sf 22x - 3x = 874 \\ \\ \\$

$\dashrightarrow \: \: \sf 19x = 874 \\ \\ \\$

$\dashrightarrow \: \: \sf x = (874)/(19) \\ \\ \\$

$\dashrightarrow \: \: \underline{\boxed{ \sf x = 46}} \\ \\ \\$

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$\bigstar\:\underline{\frak{Finding \: the \: weight \: of \: the \: zinc \: in \: a \: chemical : }}$

$\longrightarrow\:\:\sf weight \: of \: zinc = 3x \\ \\ \\$

$\longrightarrow\:\:\sf weight \: of \: zinc = 3 * 46 \\ \\ \\$

$\longrightarrow\:\: \underline{ \boxed{\sf weight \: of \: zinc =138 \: grams}} \\ \\ \\$

$\therefore\:\underline{\textsf{The chemical contains \textbf{138 grams}} \textsf{ of zinc}}. \\$

Rodrigo Ortega · Answer 2 · 2021-02-02T11:44:32+0000

Answer:

138 grams of zinc

Explanation:

Zinc : copper = 3 : 19

Let amount of zinc = 138 grams

3 : 19 :: x : 874

Product of means = product of extremes

19 * x = 3 * 874

x =
(3*874)/(19)

x = 3 * 46

Zinc = 138 grams

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