Asmall soda costs $0.45
and a large soda costs
$0.65
35 sodas were sold for a
total of $18.55. how many
of each size soda were
sold

There were 21 large sodas sold and 14 small sodas sold.

Step-by-step explanation:

x=number of small sodas

y=number of large sodas

.45x+.65y=18.55

x+y=35

Multiply the second equation by .45

.45(x+y=35)

.45x+.45y=15.75

Subtract

.45x-.45x=0

.65y-.45y=.20

18.55-15.75=2.80

.20y=2.80

Divide

(.20y)/.20=(2.80)/.20

y=14

Insert y into one of the equations

x+14=35

Subtract

x+14-14=35-14

x=21

There were 21 small sodas sold and 14 large sodas sold.

21 small sodas and 14 large sodas

Step-by-step explanation:

21×0.45+14×0.65=18.55

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

​

step-by-step explanation: