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snow_tiger [21]
3 years ago
11

Answer both questions thanks

Mathematics
1 answer:
horrorfan [7]3 years ago
8 0

Answer:

See below, please.

Step-by-step explanation:

1. (a) 9/24 = 0.375 = 37.5% (multiply by 100 and put a % sign on the end)

 (b)  60% = 'x' karats

       0.60 = x/24

       x = (0.60)(24) = 14.4 karats

2. (a) 2g 10-karat gold + 2g 14-karat gold

        = (2g * 10/24)  + (2g * 14/24) = (20/24 + 28/24)g = (48/24)g = 2g Gold in a 4-gram alloy, so it is 50% gold

  (b)  6g 24-karat gold + 4g 9-karat gold

        = (6g * 24/24)  + (4g * 9/24) = (144/24 + 36/24)g = (180/24)g = 7.5g Gold in a 10-gram alloy, so it is 75% gold

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