# Algebra 2

James sold magazine subscriptions with three prices: \$26, \$19, \$ 23. He sold 3 fewer of the \$26 subscriptions than of the \$19 subscriptions and sold a total of 32 subscriptions. If his total of sales amounted to \$716, how many \$23 subscriptions did James sell?

Ace Rent a Car charges a flat fee of \$15 and \$0.25 a mile for their cars. Acme Rent a Car charges a flat fee of \$30 and \$0.17 a mile for their cars. Use the following model to find out after how many miles Ace Rent a Car becomes more expensive than Acme Rent a Car. c= 15+0.25m Ace, c=30+0.17m Acme

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1. I will do the first, you do the second

number of \$19's --- x
number of \$26's --- x-3
number of \$23's --- 32 - x - (x-3) = 35-2x

19x + 26(x-3) + 23(35-2x) = 716
19x + 26x - 78 + 805 - 46x = 716
-x = -11
x = 11

he sold 11 of the \$19's
8 of the \$26's and
13 of the \$23's

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