Question

Brass is an alloy of copper and zinc. Bronze is an alloy containing 80% copper, 4% of zinc and 16% of tin. A fused mass of brass and bronze is found to contain 74% of copper, 16% zinc, and 10% of tin. The ratio of copper to zinc in brass is?
a.) 64% and 36%
b.) 33% and 67%
c.) 50% and 75%
d.)35% and 65%

Answer 1

@amistre64

Answer 2

if this is possible to solve, id say we simply remove the bronze ratio to determine whats left

Answer 3

can u elaborate

Answer 4

we are given that bronze has a given ratio pf parts, and that the combined mass contains bronze in it, remove the bronze part by an appropriate ratio

Answer 5

since we have no tin in brass, what is the proper scalar to get .16t = .10 ?

Answer 6

t=5/8

Answer 7

then 5/8 of the copper is bronze, and 5/8 of the zinc is bronze

remove them to find whats left is what comes to mind

Answer 8

u mean 74-5/8(74) like this ?

Answer 9

.74 * 5/8 = bronze so .74 * 3/8 = brass copper and likewise, .16*3/8 should give us brass zinc

Answer 10

74 - 5/8(74) seems fair as well. took some time to process what you meant :)

Answer 11

0.74*3/8=0.277

Answer 12

so how do i convert 0.277 in %

Answer 13

.277 is just how much copper we have left over, how much zinc is left over?

Answer 14

zince 0.16*3/8=0.06

Answer 15

Bronze contains
80% copper
4% of zinc
16% of tin

A fused mass of brass and bronze is found to contain
.74 of copper = .80 bronze + x brass
.16 of zinc = .04 bronze + y brass
.10 of tin = .16 bronze + 0 brass

the tin row can solve for bronze, 5/8


.74 of copper = .80*5/8 + x brass
.16 of zinc = .04*5/8 + y brass
.10 of tin = .16*5/8 + 0 brass

now we have 2 equations in 2 unknowns

Answer 16

something along these lines should work out

Answer 17

book gives answer 64% copper and 36% zinc

Answer 18

thats what i get as well

Answer 19

.74 = .80*5/8 + x*3/8
.16 = .04*5/8 + y*3/8
.10 = .16*5/8

x and y are both solvable

Answer 20

thanks very much