Matt gets a 1,000 $c o m m i s s i o n o n a b i g s a l e . T h i s c o m m i s s i o n a l o n e r a i s e s h i s a v e r a g e c o m m i s s i o n b y$ $150$ . If Matt's new average commission is 400$, how many sales has Matt made?

6

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Solution

The correct option is B $5$
Before the 1,000 $c o m m i s s i o n, M a n^{'} s a v e r a g e c o m m i s s i o n w a s$ $250$ ; you can express this algebraically with the equation $S = 250 n$ .
After the sale, the sum of Man's commissions increased by 1,000 $, t h e n u m b e r o f s a l e s m a d e i n c r e a s e d b y$ 1 $, a n d h i s a v e r a g e c o m m i s s i o n w a s$ $400$ . You can express this algebraically with the equation:
$S + 1, 000 = 400 (n + 1)$
$250 n + 1, 000 = 400 (n + 1)$
$250 n + 1, 000 = 400 n + 400$
$150 n = 600$
$n = 4$
Before the big sale, Man had made $4$ sales. Including the big sale, Matt has made $5$ sales.

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Matt gets a 1,000commissiononabigsale.Thiscommissionaloneraiseshisaveragecommissionby 150. If Matt's new average commission is 400$, how many sales has Matt made?

Matt gets a 1,000 $c o m m i s s i o n o n a b i g s a l e . T h i s c o m m i s s i o n a l o n e r a i s e s h i s a v e r a g e c o m m i s s i o n b y$ $150$ . If Matt's new average commission is 400$, how many sales has Matt made?