Question

An ice cream shop sells one-scoop cones for
$
2
and two-scoop cones for
$
3
. A total of
10
ice cream cones were sold on Monday for a total cost of
$
24
.



The graph of the system of linear equations that represents the scenario is given.



image

Which statement is a correct interpretation of the solution to the system of equations?

A.
4
one-scoop cones and
6
two-scoop cones were sold

B.
0
one-scoop cones and
8
two-scoop cones were sold

C.
6
one-scoop cones and
4
two-scoop cones were sold

D.
12
one-scoop cones and
0
two scoop-cones were sold

Answer 1

Let x = number of one-scoop cones and y = number of two-scoop cones.

Equations:
x + y = 10
2x + 3y = 24

From the first, x = 10 − y. Substitute:
2(10 − y) + 3y = 24 → 20 + y = 24 → y = 4, so x = 6.

So 6 one-scoop cones and 4 two-scoop cones were sold — answer C.