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Ratio and Proportion
An alloy of zinc and copper contains the metals in the ratio 5 : 3. The quantity of zinc to be added to 6 kg of the alloy so that the ratio of the metal may be 3 : 1 is:
Read Solution (Total 6)
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- in 6kg of alloy 15/4-zinc and 9/4-copper .
so,
let extra zinc added be x
(15/4+x)/(9/4)=3/1
->x=3 - 9 years agoHelpfull: Yes(23) No(7)
- In sixteen kg of alloy 10 kg of zinc and 6 kg copper is present
To make the ratio 3:1 we must add 8 kg of zinc to make it 18 kg of zinc and 6 kg copper
So answer is 8 - 9 years agoHelpfull: Yes(6) No(10)
- a/q 5x+6/3x=3/1
x=1.5 - 9 years agoHelpfull: Yes(4) No(3)
- 5/8*6=15/4
3/8*16=9/4
(15/4+x)/(9/4)=3/1
x=27/4-15/4=3 ans:3 - 7 years agoHelpfull: Yes(1) No(0)
- firtly, ratio was zinc/copper=5/3.
so, zinc=5x and copper=3x.
total alloy = 6kg
so, 5x+3x= 6, gives x= 3/4
so, zinc= 5*3/4=15/4
and, copper= 3*3/4=9/4
now, x kg zinc is added to 6 kg alloy so the new ratio is 3/1.
so, quantity of copper is not touched and only x kg zinc is added to 15/4 kg zinc
so, equation is:-
15/4 + x/ 9/4=3/1
gives x= 3 kg
so, answer is 3 kg of zinc is added to 6 kg alloy. - 7 years agoHelpfull: Yes(1) No(0)
- If we try to find portion of zinc and copper in 6 kg of alloy. Then we will find that there is 3.75 kg of zinc and 2.25 kg of copper, then to make the metel in the ratio 3:1. we will keep the portion of copper the same as it has to be left alone ....as we have to add only zinc to make the ratio 3:1. Now, as 1 portion of zinc is 2.25kg, then we have to multiply it with 3 to make it 3:1. 2.25 * 3= 6.75. therefore, 6.75-3.75=3 kg of extra zinc to be added to make it 3:1.
- 9 years agoHelpfull: Yes(0) No(0)
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