Question

A small 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

Answer 1

21 small sodas and 14 large sodas

Explanation:

21×0.45+14×0.65=18.55

Answer 2

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

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.