Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 1 - First-Order Differential Equations - 1.4 Separable Differential Equations - Problems - Page 45: 33

Answer

See below

Work Step by Step

Chemicals A and B combine in the ratio 3:5 in producing the chemical C. Initial amount of A: 15g Amount of C: 30g For chemical A: $\frac{3}{8}C$ For chemical B: $\frac{5}{8}C$ Since we know chemicals A and B combine in producing the chemical C, obtain: $\frac{3}{8}(30)+\frac{5}{8}(30)=30 \\11.25+18.75=30$ Hence, the minimum amount of B required to produce 30 g of C is $18.75$g
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