Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The tableshows the amount of each solution used.Bleach SolutionCupsBleachConcentrationTotal10% Bleach50.100.525% Bleach0.250.25xMixture0.20What is the value of x?What is the value of x?
Accepted Solution
A:
Answer:10Step-by-step explanation:[tex]\left[\begin{array}{cccc}Bleach\ solution&Cups\ bleach&Concentration&Total\\10\%\ Bleach&5&0.10&0.50\\25\%\ Bleach&x&0.25&0.25x\\Mixture&5+x&0.20&0.20(5+x)\end{array}\right][/tex]The total bleach in the mixture is 0.20 (5 + x), but it's also the sum of the bleach amounts in each solution: 0.50 + 0.25x.Therefore:0.20 (5 + x) = 0.50 + 0.25x1 + 0.20x = 0.50 + 0.25x0.50 = 0.05xx = 10