Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-9 Percents - Practice and Problem-Solving Exercises - Page 142: 50

Answer

109%

Work Step by Step

Use the percent equation,$a=p\%\times b$. a is the part. The part is the total of the installment payments, which is found by multiplying the number of payments (24) by the payment amount (\$45). p is the unknown percent. b is the base. The base is the original price, \$990. Substitute and solve the percent equation for p. $24\times45=p\times 990\longrightarrow$ multiply $1080=p\times990\longrightarrow$ divide both sides by 990 $1080\div990=p\times990\div990\longrightarrow$ divide $1.\overline{09}=p$ convert decimal to percent by moving decimal 2 places right $109.\overline{09}\%=p\%$
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