Lashawna is making jewelry to sell at a craft fair. on monday, she makes 12 bracelets. on tuesday, she works an additional 2.5 hours and she has a total of 22 bracelets. determine the time it takes lashawna to make one bracelet

The correct answer is 15 minutes.

Step-by-step explanation:

In order to perform this exercise we must better understand the information we have.

If one day Lashawna made 12 bracelets, and the next day with a difference of 2.5 hours made 22 bracelets, we can determine how many bracelets she made in 2.5 hours just by subtracting 22-12.

22-12 = 10 bracelets in 2.5 hours.

With this information we can begin to analyze how long it took Lashawna to make one bracelet.

We could use a cross-multiplication.

If 10 bracelets 2.5 hours

    1 bracelet x  hours

   10.x = 2.5 .1

   X = 2.5: 10

   X: 0.25

Now it is very important to understand that 0.25 does not represent minutes, but hours. Since we have done the calculation in hours. Therefore a 0.25 in one hour equals 15 minutes. A 0.50 equals 30, a 0.75 equals 45 and so on.

If you wanted to perform the calculation in minutes to make it clearer you could also do it.

2 hours and a half equals 150 minutes.

If 10 bracelets 150 minutes

    1 bracelet x minutes

10x = 150.1

X = 150: 10

X = 15 minutes.

In this way we can verify that the correct answer is 15 minutes.

show us the picture

step-by-step explanation:

show the !

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2