Brady and JaQuan were selling cupcakes together at a bake sale. They hope to make $100 so they can both go on the band field trip to New York City. In the first hour Brady sold 1/3 of the cupcakes and Jaquan sold 3/8...

The initial amount of cupcakes = 48

If they sold each cupcake for $2.75, they would make $132 which is more than the required $100 to go on band field trip to New York.

The excess money available for spending is thus $32

Step-by-step explanation:

The complete question is presented in the attached image to this answer.

They need to make $100

Let x be the initial amount of cupcakes

During the first hour, Brady sold (1/3) of the cupcakes and Jaquan sold (3/8)

Total amount of cupcakes sold in the first hour = [(1/3) × x] + [(3/8) × x] = (17x/24)

Amount of cupcakes remaining after the first hour = x - (17x/24) = (7x/24)

After the first hour, they sold 2 cupcakes

Amount of cupcakes left after the first hour = (7x/24) - 2 = (0.292x - 2)

During the second hour, they sold 75% of the remaining cupcakes, meaning they had 25% of the remaining cupcakes left.

Amount of cupcakes left = 25% × (0.292x - 2)

= (0.07292x - 0.5)

During the third hour, they sold the remaining 3 cupcakes

Meaning that the amount of cupcakes left from the second hour = 3

(0.07292x - 0.5) = 3

0.07292x = 3.5

x = (3.5/0.07292) = 47.998 = 48 cupcakes.

Hence, the initial amount of cupcakes = 48.

If they sold each cupcake for $2.75, they would make 2.75 × 48 = $132

Which is more than the required $100 to go on band field trip to New York.

The excess money available for spending is thus $132 - $100 = $32.

Hope this Helps!!!

the correct answer is b) histograms can be used to exhibit the shape of distributions. this is because histograms count the frequency of each possible answer, so one is able to see which results are more common and which are less common.

no, because the sides are not congruent