Question

A grocery store manager notices that this month her store sold a total of 710 gallons of ice cream, which represents a decrease of 19% from last month. On the other hand, her store sold 667 pounds of broccoli this month, which represents an increase of 23% from last month. How much ice cream and broccoli did the store sell last month? Round your answers to the nearest integer.

Answer 1

The grocery store sold approximately 877 gallons of ice cream and 542 pounds of broccoli last month, after calculating the changes based on the percentage increase and decrease.

Step-by-step explanation:

To calculate the original amount of ice cream sold last month before a 19% decrease resulted in 710 gallons this month, we set up the equation 710 = 0.81x, where x is the amount sold last month. Dividing both sides by 0.81 gives us x ≈ 877 gallons of ice cream sold last month.

Similarly, to find the original amount of broccoli sold last month before a 23% increase to 667 pounds this month, we use the equation 667 = 1.23y, where y is the amount sold last month. Dividing both sides by 1.23 gives us y ≈ 542 pounds of broccoli sold last month. These figures are rounded to the nearest integer as requested.