you buy 2.5lb of pistachios and 3.5lb of almonds. The total costs is $11.94. Pistachios and almonds sell for the same price. find the cost per pound

Respuesta :

Answer: The cost per pound is [tex]\$1.99[/tex]

Step-by-step explanation:

According to the exercise, pistachios and almonds are sold for the same price; then you can say that "x" represents the cost per pound (in dollars) of pistachios and almonds.

You know that the total cost for 2.5 pounds of pistachios and 3.5 pounds of almonds is $11.94; therefore, you can write the following equation to represent this situation:

[tex]2.5x+3.5x=11.94[/tex]

Finally, you must solve for "x" in order to find the cost per pound of pistachios and almonds. This is:

[tex]2.5x+3.5x=11.94\\\\6x=11.94\\\\x=\frac{11.94}{6}\\\\x=1.99[/tex]