Find the number of each type of cone that was sold in the following case:An ice cream shop sells the following sizes of ice cream cones: single scoops cones for $.90, double scoop cones for $1.20,...

Find the number of each type of cone that was sold in the following case:

An ice cream shop sells the following sizes of ice cream cones: single scoops cones for $.90, double scoop cones for $1.20, and triple scoop cones for $1.60. On a certain day, 120 cones were sold for $134. The number of single scoop cones was equal to the combined total of double and triple scoop cones.

Asked on by t521863

1 Answer

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The ice cream shop sells the following sizes of ice cream cones: single scoops cones for $0.90, double scoop cones for $1.20, and triple scoop cones for $1.60. On a certain day, 120 cones were sold for $134 and the number of single scoop cones was equal to the combined total of double and triple scoop cones.

Let the number of single scoop cones be X and the number of double scoops be Y, the number of triple scoop cones is X - Y

120 = X + Y + X - Y ...(1)

X*0.9 + Y*1.2 + (X - Y)*1.6 = 134 ...(2)

Substituting X = 60 in (2) gives

60*0.9 + Y*1.2 + (60 - Y)*1.6 = 134

=> 54 + 1.2*Y + 96 - 1.6*Y = 134

=> Y = 40

The number of single scoop cones sold is 60, the number of double scoop cones sold is 40 and 20 of the triple scoop cones were sold.