The winner got $70,000 and the runner up got $14,000
Let the winner be represented by x and runner up by y
Data given;
- Amount to be shared = $84000
- x = 5y
This is a simple case of ratio i.e 1 : 5
<h3>Equation</h3>

The runner up received $14000. let's use this data to find how much the winner got.

From the calculations above, the winner got $70,000 and the runner up got $14,000.
Learn more about ratios here;
brainly.com/question/1781657
Step-by-step explanation:
If x is the mass of 30% copper alloy, and y is the mass of 65% copper alloy, then:
x + y = 80
0.30x + 0.65y = 0.51(80)
Solving the system of equations using substitution:
0.30x + 0.65(80 − x) = 0.51(80)
0.30x + 52 − 0.65x = 40.8
11.2 = 0.35x
x = 32
y = 80 − x
y = 48
The metalworker needs 32 kg of 30% copper alloy and 48 kg of 65% copper alloy.