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System is given below

Step-by-step explanation:

Let (applicable to all three lines below)Hard candy = x kg with price $1.60/kgGummy worms = y kg with price $2.20/kgTotal weight = 50 kg with mixed price $1.75/kg

Required equations:

x + y = 50                        total weight1.60x + 2.20y = 50*1.75      total price

Note. It says don't solve but the solution below for those who is interested to know the answer.

Simplify the second equation and solve by substitution x = 50 - y:

1.6(50 - y) + 2.2y = 87.580 - 1.6y +2.2y = 87.50.6y = 7.5y = 7.5/0.6y = 12.5

Find the value of x:

x = 50 - 12.5 = 37.5

Hard candy = 37.5 kg and gummy worms = 12.5 kg