Question

A grocery store manager notices that this month her store sold a total of 623 gallons of ice cream, which represents a decrease of 15% from last month. On the other hand, her store sold 912 pounds of broccoli this month, which represents an increase of 22% from last month. How much ice cream and broccoli did the store sell last month? Round your answers to the nearest integer.
The store sold _______ gallons of ice cream last month.

The store sold _______ pounds of broccoli last month.

Answer 1

Answer:

- The store sold 733 gallons of ice cream last month.

- The store sold 748 pounds of broccoli last month.

Step-by-step explanation:

Given

$Ice\ Cream = 623$

$\%\ Ice\ Cream = 15\%$

$Broccoli = 912$

$\%\ Broccoli = 22\%$

Solving (a): Gallons of Ice Cream

Let Gallons sold last month be G1; Gallons sold this month be G2;

The relationship between both is:

$G2 =G1 - 15\% * G1$

Substitute 623 for G2

$623 =G1 - 15\% * G1$

$623 =G1 - 0.15 * G1$

$623 =G1 - 0.15 G1$

$623 =0.85 G1$

Divide through by 0.85

$G1 = 623/0.85$

$G1 = 732.941176471$

$G1 = 733$

Solving (b): Pounds of Broccoli

Let Pounds sold last month be P1; Pounds sold this month be P2;

The relationship between both is:

$P2 =P1 + 22\% * P1$

Substitute 912 for P2

$912 =P1 + 22\% * P1$

$912 =P1 + 0.22 * P1$

$912 =P1 + 0.22 P1$

$912 =1.22 P1$

Divide through by 1.22

$P1 = 912/1.22$

$P1 = 747.540983607$

$P1 = 748$