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An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How much of each metal is needed to make 3.6 kg of this alloy?An alloy consists of nickel, zinc, and copper in the ratio 2:7:9.

Respuesta :

riveralatoya88
1.8 cooper considering its half 9:18
1.4 zinc 7:18
0.4 nickel 2:18
tramserran

Answer: Nickel = 0.4 kg, Zinc = 1.4 kg, Copper = 1.8 kg

Step-by-step explanation:

Nickel: 2x

Zinc: 7x

Copper: 9x

Total: 3.6 kg

Nickel + Zinc + Copper = Total

    2x   +  7x   +     9x      =   3.6

                                18x =   3.6

                                 [tex]\frac{18x}{18} = \frac{3.6}{18}[/tex]

                                    x = 0.2

Nickel: 2x = 2(0.2)  = 0.4

Zinc: 7x = 7(0.2)  = 1.4

Copper: 9x = 9(0.2)  = 1.8

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