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

Can someone please help me with these two problems?

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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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