What is the value of x in the equation below? One-third (12 x minus 24) = 16 2 6 8 10

Mathematics

2 answers:

Scrat [10]3 years ago

5 0

Answer:

6 i got it right on edg

Step-by-step explanation:

lina2011 [118]3 years ago

3 0

Answer:

Step-by-step explanation:

1/3(12x - 24) = 16

12x - 24 = 16 (3)

12x = 48 + 24

x = 72 / 12

x = 6

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How many grams of an alloy containing 25% silver should be melted with 50 grams of an alloy containing 60% silver in order to ob

Kipish [7]

Answer:

20 grams of an alloy containing 25% silver has to be melted with 50 grams of an alloy containing 60% silver to obtain a final alloy containing 50% silver

Step-by-step explanation:

We define

$A_{a}=50g @ 60\%$ , wich means alloy a has 50 grams containing 60% silver.

$A_{b}=xg @ 25\%$ , wich means alloy b has x grams containing 25% silver.

So we can build an equiation $50 \times 0.60+x \times 0.25=\frac{1}{2}(50+x)$ , as half of the final alloy has to be silver. Then solving for x

$30+0.25x=25+0.5x\\30-25=0.5x-0.25x\\5=0.25x\\x=\frac{5}{0.25}=20$

Wich means 20 grams of an alloy containing 25% silver ( $A_{b}$ ) has to be melted with 50 grams of an alloy containing 60% silver ( $A_{a}$ ) to obtain a final alloy containing 50% silver.