Brass is an alloy formed using copper and zinc in the ratio 3:2 based on weight. If 120g of copper are needed for a certain piece of brass, how much zinc is needed?PLEASE HELP!!
Accepted Solution
A:
Hey There :)
We can solve by 2 ways ( The 2nd way might be easier )
→ To make 1 brass alloy, the ratio of copper to zinc is 3 : 2 Brass = copper + zinc = 3 : 2 3x : 2x
Copper needed is 120g ↓ 3x = 120g Divide by 3 to isolate x [tex] \frac{3x}{3} = \frac{120}{3} [/tex] x = 40
Ratio of Zinc is 2
substitute 40 in place of x 2x = 2 ( 40 ) = 80g
Or
→ 3 : 2 120 : p
Cross multiply 3p = 120 x 2 3p = 240 [tex] \frac{3p}{3} = \frac{240}{3} [/tex] p = 80g