Answer :
Answer:
84 ounces of pure gold
Step-by-step explanation:
Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?
Pure gold = 100% gold
Let the number of ounces of pure gold = x
Hence, we have the equation
40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces
= 0.4 × 60 + 1x = 0.75(60 + x)
= 24 + x = 45 + 0.75x
Collect like terms
x - 0.75x = 45 - 24
0.25x = 21
x = 21/0.25
x = 84 ounces
Therefore, we need 84 ounces of pure gold
84 ounces of pure gold must be added
The first is to write out the parameters
Jess has 60 ounces of alloy
40% of this alloy is pure gold
The number of ounces that should be added can be calculated as follows;
Let y represent the unknown
40/100(y)(60) + 100/100(y)= 75/100(60+y)
24 + y= 0.75(60+y)
25 + y= 45 + 0.75y
24 - 45= 0.75y -y
-21= -0.25y
y= 21/0.25
y= 84
Hence the number of ounces of pure gold required is 84 ounces
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