Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - 2.1 - Rational Numbers: Multiplication and Division - Problem Set 2.1: 82

Answer

Angel earned 11,250 dollars

Work Step by Step

The band raised 120,000 at a cancer society benefit concert and earned $\frac{3}{8}$ of the money it raised. So, the band earned 120000 $\times$ $\frac{3}{8}$. 4 members of the band earned this amount. To find out how much Angel earned, we divide the band earnings by 4: So, 120000 $\times$ $\frac{3}{8}$ $\div$ 4 = 120000 $\times$ $\frac{3}{8}$ $\times$ $\frac{1}{4}$ = $\frac{120000\ \times\ 3}{32}$ = Factor the numerator and the denominator: $\frac{3750\ \times\ 32\ \times\ 3}{32}$ = Cancel the common factors between the numerator and the denominator to obtain: 3750 $\times$ 3 = 11250
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