Question

Ben and jerry’s sells 2 times more ice cream cones ($2) than shakes ($9). If last month’s sales totaled $3,900, how many of each were sold?

Answer 1

Lets say Ben and Jerry sold 'x' number of shakes.

If they have sold 'x' number of shakes then they must have sold $2\times x=2x$ number of cones.

Now, each ice cream cone costs $2.00 and each shake costs $9.00.

Last month the total sale totaled $3,900.00

Now,

The equation to represent the relation between the total sales and number of ice cream cons, number of shakes sold is given by:

$2\times x(2x)+9\times (x)=3900$

$4x+9x=3900$

$13x=3900$

Solving for 'x' we get:

$x=\frac{3900}{13} =300$

We had assumed that 'x' number of shakes were sold, therefore we know that 300 shakes were sold and $2\times x$ numbers of cones were sold which means $2 \times 300=600$ ice cream cones were sold.

So, 600 ice cream cones were sold and 300 shakes were sold last month.

Answer 2

Given

Ben and jerry’s sells 2 times more ice cream cones ($2) than shakes ($9)

last month’s sales totaled $3,900

Find out how many of each were sold.

To proof

Let us assume the number of shakes sold be x

as given in the question

they sell 2 times more ice cream cones  than shakes

than  the number of ice cream sold = 2x

sales totaled = $3,900

shakes cost = $9

ice cream cost = $2

FORMULA

value of the ice cream cones + value of the shakes = total cost

2x (2) + x(9) =  3900

4x + 9x = 3900

13x = 3900

x = 300

The number of shakes sold be 300

The number of ice cream cone sold be 600

Hence proved