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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.

Respuesta :

MrRoyal

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

[tex]Ice\ Cream = 623[/tex]

[tex]\%\ Ice\ Cream = 15\%[/tex]

[tex]Broccoli = 912[/tex]

[tex]\%\ Broccoli = 22\%[/tex]

Solving (a): Gallons of Ice Cream

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

The relationship between both is:

[tex]G2 =G1 - 15\% * G1[/tex]

Substitute 623 for G2

[tex]623 =G1 - 15\% * G1[/tex]

[tex]623 =G1 - 0.15 * G1[/tex]

[tex]623 =G1 - 0.15 G1[/tex]

[tex]623 =0.85 G1[/tex]

Divide through by 0.85

[tex]G1 = 623/0.85[/tex]

[tex]G1 = 732.941176471[/tex]

[tex]G1 = 733[/tex]

Solving (b): Pounds of Broccoli

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

The relationship between both is:

[tex]P2 =P1 + 22\% * P1[/tex]

Substitute 912 for P2

[tex]912 =P1 + 22\% * P1[/tex]

[tex]912 =P1 + 0.22 * P1[/tex]

[tex]912 =P1 + 0.22 P1[/tex]

[tex]912 =1.22 P1[/tex]

Divide through by 1.22

[tex]P1 = 912/1.22[/tex]

[tex]P1 = 747.540983607[/tex]

[tex]P1 = 748[/tex]

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