Respuesta :
To reach the desired ratio, 0.125 gallons of 35% solution is needed.
Proportions
Since Eli wants to combine 0.5 gallons of a 10% acetic acid solution with a 35% solution to make a 15% acetic acid solution, to determine how many gallons of 35% solution are needed, the following calculation must be performed:
- 1 x 10 + 2 x 35 = 80 / 3 = 26.66
- 1x10 + 1x35 = 45 / 2 = 2.5
- 1 x 10 + 0.5 x 35 = 27.5 / 1.5 = 18.33
- 1 x 10 + 0.4 x 35 = 24 / 1.4 = 17.14
- 1 x 10 + 0.2 x 35 = 17 / 1.2 = 14.16
- 1 x 10 + 0.3 x 35 = 20.5 / 1.3 = 15.76
- 1 x 10 + 0.25 x 35 = 18.75 / 1.25 = 15
- 1 / 2 = 0.5
- 0.25 / 2 = 0.125
Therefore, to reach the desired ratio, 0.125 gallons of 35% solution is needed.
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