SOLUTION: Someone solve these two problems for me plz: ( w/ explanantions plz) or answers if u dont have time 1)A sugar solution was made by mixing 9 L of a 30% sugar solution and 1 L

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Question 681790: Someone solve these two problems for me plz: ( w/ explanantions plz) or answers if u dont have time

1)A sugar solution was made by mixing 9 L of a 30% sugar solution and 1 L of a 20% sugar solution. What is the concentration of the sugar mixture?

2) 1 yd of soil containing 40 % sand was mixed into 4 yd of soil containing 20% sand. what is the sand content of the mixture?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1)
A sugar solution was made by mixing 9 L of a 30% sugar solution and 1 L of a 20% sugar solution. What is the concentration of the sugar mixture?
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sugar + sugar = sugar
0.30*9 + 0.20*1 = x(9+1)
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Multiply thru by 100 to get:
30*9 + 20*1 = x(1000)
1000x = 270+20
1000x = 290
x = 0.29 = 29%
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2) 1 yd of soil containing 40 % sand was mixed into 4 yd of soil containing 20% sand. what is the sand content of the mixture?
sand + sand = sans
0.40*1 + 0.20*4 = x(1+4)
40*1 + 20*4 = 500x
500x = 120
x = 0.24 = 24% of the 5 yds of soil is sand
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Cheers,
Stan H.
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