Question

an ice cream truck operator sells 17 items for the total of 39$. if the 17 items are comprised of some ice cream sandwiches for 3$ each and some popsicles for 2$ each, exactly how many popsicle’s does the ice cream truck operator sell?

Answer 1

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Explanation:

To find the number of popsicles sold by the ice cream truck operator, we need to use the information given in the question.

Let's assume the number of ice cream sandwiches sold is "x" and the number of popsicles sold is "y".

According to the question, the total number of items sold is 17. Therefore, we can write the equation:

x + y = 17 ---(Equation 1)

The price of each ice cream sandwich is $3, and the price of each popsicle is $2. The total amount collected from the sale of these items is $39. Therefore, we can write another equation based on the total amount collected:

3x + 2y = 39 ---(Equation 2)

Now, we can solve these two equations simultaneously to find the values of "x" and "y".

By multiplying Equation 1 by 2, we get:

2x + 2y = 34

Now, let's subtract this equation from Equation 2 to eliminate the "y" variable:

(3x + 2y) - (2x + 2y) = 39 - 34

x = 5

Substituting the value of "x" into Equation 1, we can find the value of "y":

5 + y = 17

y = 17 - 5

y = 12

Therefore, the ice cream truck operator sold 12 popsicles.

To summarize:

Number of ice cream sandwiches sold (x) = 5

Number of popsicles sold (y) = 12