Pete starts with 4 quarts of 20% juice, which contains
0.20 • (4 quarts) = 0.8 quarts
of juice.
If he mixes this with <em>x</em> quarts of 60% juice, which contains
0.60 • (<em>x</em> quarts) = 0.6<em>x</em> quarts
of juice, then he would end up with a mixture with a volume of (<em>x</em> + 4) quarts that contains (0.8 + 0.6<em>x</em>) quarts of juice. The mix has to have a concentration of 50% juice, which means
(0.8 + 0.6<em>x</em>) / (<em>x</em> + 4) = 0.50
Solve for <em>x</em> :
0.8 + 0.6<em>x</em> = 0.50 (<em>x</em> + 4)
0.8 + 0.6<em>x</em> = 0.5<em>x</em> + 2
0.1<em>x</em> = 1.2
<em>x</em> = 12
So Pete needs 12 quarts of the 60% juice.
To solve this, you can create an equation. Say the weight of Umbar is x, then Saira weighs x+25. Together they weigh 205. So, you get the equation
x+x+25=205
Then solve for x.
2x+25=205
2x=180
x=90
Then to find Saira's weight, add 25 to Umbar's weight.
90+25=115.
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Answer:
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Step-by-step explanation:
Bill's answer is wrong because timesing 150 by 1.3 is increasing the number by 30%, not 3%
If he wanted to use this method, he would have ti times 150 by 1.03
