At an ice cream parlor, ice cream cones cost $1.10 and sundaes cost $2.35. One day, the receipts for a total of 172 cones and sundaes were $294.20. How many cones were sold?

Question

2099 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-08-10T11:22:28

88 ice cream cones and 84 sundaes

Let me assign i for number of ice cream cones sold.
Number of sundaes sold is #172-i#

Now put this into equation:

#[1.10timesi] + [2.35times(172-i)] = $294.2#

#1.10timesi + 404.2 -2.35timesi = 294.2#

#-1.25timesi = 294.2-404.2#

#-1.25timesi = -110#

#i=(-110)/(-1.25) = 88#

i is the number of ice cream cones sold.

#172-i = 171-88 = 84# is the number of sundaes sold.

Answer 2 · 2018-08-10T11:37:00

#88# number of ice cream cones were sold

Let the number of ice cream cones sold were #I# , then , number

of sundaes sold were #S=172-I#. One ice cream costs #$1.10#

and one sundaes costs # $2.35#, Total sell was #$294.20#

# :. I*1.10+(172-I)*2.35=294.20# or

# 1.10 I- 2.35 I +404 .20 =294.20# or

#- 1.25 I = 294.20- 404.20 or -1.25 I = -110.00# or

#I= (-110.00)/-1.25 or I=88 :. S= 172- I= 172-88=84#

#88# number of ice cream cones were sold [Ans}