Answer:
There are 2 ounces of 50% silver
There are 8 ounces of 75% silver
Step-by-step explanation:
The percentage of silver times the amount of silver + the percentage of silver times the amount of silver = The percentage of silver times the total amount of silver
We will put A in the first spot and B in the second spot and The total on the right
We will take x ounces of A at 50%
We need 10 ounces of the total
10-x is the amount we need for B ( The amount in A Plus the amount in B has to equal 10)
We have (10-x) at 75% for B
We have 10 ounces at 70% for The total
.50 *x + .75*(10-x) = .70*10
.5x + .75*(10-x) = 7
Distribute
.5x +7.5 - .75x =7
Combine like terms
-.25x + 7.5 = 7
Subtract 7.5 from each side
-.25x +7.5-7.5 =7-7.5
-.25x =-.5
Divide by -.25 on each side
-.25x/-.25 = -.5/-.25
x =2
There are 2 ounces of 50% silver
To find how many ounces of 75% silver
10-x = 10-2 = 8
There are 8 ounces of 75% silver