How many grams of 2.5% "h" cream should be mixed with360 grams of 0.25% "h" cream to make a 1% "h" cream?

Question

Evie Hughes

Chemistry

4 July, 08:57

How many grams of 2.5% "h" cream should be mixed with360 grams of 0.25% "h" cream to make a 1% "h" cream?

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Nikki · Answer 1

Answer is: 180 grams of 2.5% "h" cream should be mixed.

ω₁ = 2.5% : 100% = 0.025.

ω₂ = 0.25% : 100% = 0.0025.

ω₃ = 1% : 100% = 0.01.

m₂ = 360 g.

m₃ = m₁ + 360 g.

m₁ = ?.

ω₁ · m₁ + ω₂ · m₂ = ω₃ · m₃.

0.025 · m₁ + 0.0025 · 360 g = 0.01 · (m₁ + 360 g).

0.025 · m₁ + 0.9 g = 0.01 · m₁ + 3.6 g.

0.015 · m₁ = 2.7 g.

m₁ = 180 g.