Jason, a vendor at the Minute Maid Park in Houston, sells two sizes of drinks. One costs $1.00 and the other costs $1.50. He knows he sold a total of 230 drinks for a total of $285.00. How many small drinks did he sell? x: sm drink

y: lg drink

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

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