dorianna packed enough blouses, skirts, and belts in her suitcase to make 24 different outfits. if she…

dorianna packed enough blouses, skirts, and belts in her suitcase to make 24 different outfits. if she packed 4 skirts and 2 belts, how many blouses did she pack?\n○ 3\n○ 4\n○ 16\n○ 18

dorianna packed enough blouses, skirts, and belts in her suitcase to make 24 different outfits. if she packed 4 skirts and 2 belts, how many blouses did she pack?\n○ 3\n○ 4\n○ 16\n○ 18

Answer

Explanation:

Step1: Recall the multiplication principle for combinations

The number of different outfits is the product of the number of blouses, skirts, and belts. Let the number of blouses be ( b ), skirts be ( s = 4 ), and belts be ( e = 2 ). So the total outfits ( O=b\times s\times e ).

Step2: Substitute known values into the formula

We know ( O = 24 ), ( s = 4 ), ( e = 2 ). So ( 24=b\times4\times2 ). First, calculate ( 4\times2 = 8 ), so the equation becomes ( 24 = 8b ).

Step3: Solve for ( b )

To find ( b ), divide both sides of the equation ( 24 = 8b ) by 8. So ( b=\frac{24}{8}=3 ).

Answer:

3 (corresponding to the option "3")