SOLUTION: Please help me help my kiddo. These word problems confuse me. Thanks! To make a mixture that is 25% betadine, how many gallons of 100% pure betadine need to be mixed with 10

Question 544137: Please help me help my kiddo. These word problems confuse me. Thanks!
To make a mixture that is 25% betadine, how many gallons of 100% pure betadine need to be mixed with 10 gallons of 15% betadine solution?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
To make a mixture that is 25% betadine, how many gallons of 100% pure betadine need to be mixed with 10 gallons of 15% betadine solution?
:
let x = amt 100% stuff required to accomplish this
:
A typical mixture equation, use the decimal equiv of percent
:
1.00x + .15(10) = .25(x+10)
1x + 1.5 = .25x + 2.5
1x - .25x = 2.5 - 1.5
.75x = 1
x =
x = 1 gal of 100% stuff required
:
:
Check our solution in the original mixture equation
1.333 + 1.5 = .25(1.333+10)
1.8333 = .25(11.333)
1.8333 = 1.833, equality reigns, so it checks out
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