A metal box is made up of an alloy of zinc and copper metals. It weighs 302 g and 320 g in liquid of relative density 1.4 and water, respectively. The specific gravities (or relative densities) of copper are 7.4 and 8.9, respectively. Arrange the following steps in a proper sequential order to find massess of metals in the alloy.

A metal box is made up of an alloy of zinc and copper metals. It weigh

1.	A metal box is made up of an alloy of zinc and copper metals. It weighs 302 g and 320 g in liquid of relative density 1.4 and water, respectively. The specific gravities (or relative densities) of copper are 7.4 and 8.9, respectively. Arrange the following steps in a proper sequential order to find massess of metals in the alloy.
Answer» FIND the weight of the BOX in a liquid of relative density 1.4 and water along with the relative densities of zinc and copper from the information given in the problem. Note the METALS present in the metal box. Let the masses and volumes of copper and zinc be `m_(c),m_(z),v_(c)andv_(z)` respectively. The weight (w) and volume (v) of the box would be equal to `m_(c)+m_(z)andv_(c)+v_(m)`, respectively. The density of the alloy used for the box is, `d=((m_(c)+m_(z)))/(v_(c)+v_(z)),` substitute `v_(c)=(m_(c))/(d_(c))andv_(z)=(m_(z))/(d_(z))=((w-m_(c)))/(d_(z))`, find the masses of `m_(c)andm_(z)`. Solution :Note the metals present in the metal box. Collect the DATA related to the specific gravities of zinc and copper from the given problem. CONSIDER the masses and volumes of copper and zinc as `m_(c),m_(z),v_(c)andv_(z)`, respectively, and let the weight (w) and volume (v) of the box be equal to `m_(c)+m_(z)andv_(c)+v_(m)`, respectively. The relative density of liquid is 1.4 and `1.4=(w-302)/(w-320)`. Find the value of 'w' Find the density of alloy, `d=(w)/(w-320)` and this is equal to `(m_(c)+m_(z))/(v_(c)+v_(z))`. substitute `v_(c)=(m_(c))/(d_(c))andv_(z)=(m_(z))/(d_(z))=((w-m_(c)))/(d_(z))`find the masses of `m_(c) and m_(z)`.

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