Answer: 960 ice-cream cones and 240 shakes were sold last month.
Step-by-step explanation: Given that Ben and Jerry’s sells 4 times more ice cream cones (each at $3) than shakes (each at $8) and the last month's sales totaled $4,800.
We are to find the number of ice cream cones and shakes that were sold.
Let c and s represents the number of ice cream cones and shakes that were sold last month.
Then, according to the given information, we have
[tex]c=4s~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3c+8s=4800~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Substituting the value of c from equation (i) in equation (ii), we get
[tex]3c+8s=4800\\\\\Rightarrow 3\times4s+8s=4800\\\\\Rightarrow 12s+8s=4800\\\\\Rightarrow 20s=4800\\\\\Rightarrow s=\dfrac{4800}{20}\\\\\Rightarrow s=240.[/tex]
From equation (i). we get
[tex]c=4\times240=960.[/tex]
Thus, 960 ice-cream cones and 240 shakes were sold last month.
