The ratio of weights of copper and zinc in brass is 13:7 Find the weight of zinc in a brass utensil weighting 500 gm
Answers
Answered by
110
..Question..
The ratio of the weights of copper and zinc in brass is 13:7 . Find the weight of zinc in a brass utensil weighing 500 gms.
..Answer..
Given ,
ㅤㅤㅤ ㅤㅤRatioㅤㅤㅤ = 13:7
ㅤㅤㅤㅤㅤ Total weight = 500 g
☯︎ Let the weight of the metals be x
•°•ㅤ The weight of copper = 13x
ㅤㅤ The weight of zinc ㅤ = 7x
•°• According to the Question ,
ㅤㅤㅤ➪ Copper + Zinc = Brass
ㅤㅤㅤ➪ 13x + 7x = 500 g
ㅤㅤㅤ➪ 20 x = 500
ㅤㅤㅤ➪ x = 500 / 20
ㅤㅤㅤ➪ x = 50 / 2
ㅤㅤㅤ➪ x = 25 ㅤㅤㅤ---------- ( 1 )
•°•
➪ Amount of Copper = 13x
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ = 13 × 25 ( from 1 )
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ = 325
➪ Amount of Zinc = 7x
ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 7 × 25 ( from 1 )
ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 175
•°• Amount of Copper = 325 g
➪ Amount of Zincㅤㅤ= 125 g
i.e , Total Amount = ( 325 + 125 ) g
ㅤㅤㅤㅤㅤㅤㅤㅤ = 500 g
ㅤㅤㅤ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂
ㅤㅤㅤ
Similar questions