in 10 g of an alloy 4 whole 1/4 is the copper .the rest is zinc , find the ratio by weight of zinc to Copper.
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Answers
Correct Question :-
In 10g of an alloy 4¼ is the copper. The rest is zinc, find the ratio by weight of zinc to Copper.
Answer:-
The ratio of weight of zinc : copper is
17/4:23/4 OR 0.223:0.17.
Step-by-step explanation
To Find :-
- The ratio of the weight of zinc to copper.
★ Solution
Given that,
- Total weight of alloy = 10g
- 4¼ of the alloy is copper.
Finding, The part of zinc in 10g of alloy :-
⇒ 10 - 4¼
⇒ 10 - 17/4
⇒ (40 - 17)/4
⇒ 23/4
Therefore,
Part of copper in 10g of alloy = 17/4.
Part of zinc in 10g of alloy = 23/4.
Now, According the question,
- The ratio of zinc to copper :-
⇒ Zinc : Copper
⇒ 17/4 : 23/4 or 0.223 : 0.17
_____________________________
VERIFICATION
- 17/4 + 23/4 = 10
We have,
L.H.S = 17/4 + 23/4
R.H.S = 10
By simplifying the L.H.S :-
⇒ 17/4 + 23/4
⇒ (17 + 23)/4
⇒ 40/4
⇒ 10
Now, L.H.S = R.H.S
Hence, Verified!.
Question :
In 10 g of an alloy 4¼ g is the copper and the rest is zinc , find the ratio by weight of zinc to Copper.
GivEn Data :
- Total weight of both zinc and copper = 10 g
- Weight of Copper = 4¼ g
To Find :
The ratio of zinc and copper
How to do :
- First we need to find the weight of zinc by subtracting copper's weight from the total weight
- Then we need to get the ratio of zinc and copper
Solution :
Finding zinc's weight :
Weight of zinc = Total weight - Weight of copper
Weight of zinc = 10 g - 4¼ g
Weight of zinc = 10 g - 17/4 g
Weight of zinc = 40/4 g - 17/4 g
Zinc's weight = 23/4 g
Hence, the weight of zinc is 23/4 g
Finding the ratio of zinc and copper
Zinc : Copper
- 23/4 : 17/4
Hence, the ratio is 23/4 : 17/4
Final Answers :
- Weight of zinc = 23/4 g
- Ratio of zinc and copper = 17/4 g
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# BeBrainly